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3381764736 = 27371258097
BaseRepresentation
bin1100100110010001…
…1010001010000000
322201200101110002210
43021210122022000
523411212432421
61315322542120
7146542345260
oct31144321200
98650343083
103381764736
111485a10999
127a4667940
1341b80ca2c
142411c17a0
1514bd54576
hexc991a280

3381764736 has 64 divisors (see below), whose sum is σ = 10266079680. Its totient is φ = 966217728.

The previous prime is 3381764717. The next prime is 3381764741. The reversal of 3381764736 is 6374671833.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×33817647362 = 22872665459306299392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 626361 + ... + 631736.

It is an arithmetic number, because the mean of its divisors is an integer number (160407495).

Almost surely, 23381764736 is an apocalyptic number.

It is an amenable number.

3381764736 is an abundant number, since it is smaller than the sum of its proper divisors (6884314944).

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

3381764736 is a wasteful number, since it uses less digits than its factorization.

3381764736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258121 (or 1258109 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 48.

The square root of 3381764736 is about 58152.9426254596. The cubic root of 3381764736 is about 1501.0015142751.

The spelling of 3381764736 in words is "three billion, three hundred eighty-one million, seven hundred sixty-four thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 1258097 2516194 3774291 5032388 7548582 8806679 10064776 15097164 17613358 20129552 26420037 30194328 35226716 40259104 52840074 60388656 70453432 80518208 105680148 120777312 140906864 161036416 211360296 241554624 281813728 422720592 483109248 563627456 845441184 1127254912 1690882368 3381764736