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3378797568 = 21032523701
BaseRepresentation
bin1100100101100100…
…0101110000000000
322201110210200220200
43021121011300000
523404433010233
61315135205200
7146505206526
oct31131056000
98643720820
103378797568
111484274693
127a3676800
1341b011303
14240a4c316
1514b96a313
hexc9645c00

3378797568 has 132 divisors (see below), whose sum is σ = 9788803128. Its totient is φ = 1122508800.

The previous prime is 3378797567. The next prime is 3378797599. The reversal of 3378797568 is 8657978733.

It is a super-2 number, since 2×33787975682 = 22832546011045429248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3378797567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4819618 + ... + 4820318.

Almost surely, 23378797568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3378797568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4894401564).

3378797568 is an abundant number, since it is smaller than the sum of its proper divisors (6410005560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3378797568 is a wasteful number, since it uses less digits than its factorization.

3378797568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1229 counting only the distinct ones).

The product of its digits is 53343360, while the sum is 63.

The square root of 3378797568 is about 58127.4252655319. The cubic root of 3378797568 is about 1500.5623917840.

The spelling of 3378797568 in words is "three billion, three hundred seventy-eight million, seven hundred ninety-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 523 576 701 768 1024 1046 1152 1402 1536 1569 2092 2103 2304 2804 3072 3138 4184 4206 4608 4707 5608 6276 6309 8368 8412 9216 9414 11216 12552 12618 16736 16824 18828 22432 25104 25236 33472 33648 37656 44864 50208 50472 66944 67296 75312 89728 100416 100944 133888 134592 150624 179456 200832 201888 267776 269184 301248 358912 366623 401664 403776 535552 538368 602496 717824 733246 803328 807552 1076736 1099869 1204992 1466492 1606656 1615104 2153472 2199738 2409984 2932984 3230208 3299607 4399476 4819968 5865968 6460416 6599214 8798952 11731936 13198428 17597904 23463872 26396856 35195808 46927744 52793712 70391616 93855488 105587424 140783232 187710976 211174848 281566464 375421952 422349696 563132928 844699392 1126265856 1689398784 3378797568