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3739270368 = 253434719273
BaseRepresentation
bin1101111011100000…
…1011110011100000
3100122121002121122010
43132320023303200
530124223122433
61415013312520
7161443162611
oct33670136340
910577077563
103739270368
1116497a2199
12884335740
134778c3322
14276883c08
1516d421e63
hexdee0bce0

3739270368 has 96 divisors (see below), whose sum is σ = 10258085376. Its totient is φ = 1191472128.

The previous prime is 3739270307. The next prime is 3739270369. The reversal of 3739270368 is 8630729373.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3739270369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184380 + ... + 203652.

It is an arithmetic number, because the mean of its divisors is an integer number (106855056).

Almost surely, 23739270368 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 3739270368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5129042688).

3739270368 is an abundant number, since it is smaller than the sum of its proper divisors (6518815008).

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

3739270368 is a wasteful number, since it uses less digits than its factorization.

3739270368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19376 (or 19368 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 48.

The square root of 3739270368 is about 61149.5737352273. The cubic root of 3739270368 is about 1552.1330836740.

The spelling of 3739270368 in words is "three billion, seven hundred thirty-nine million, two hundred seventy thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 47 48 86 94 96 129 141 172 188 258 282 344 376 516 564 688 752 1032 1128 1376 1504 2021 2064 2256 4042 4128 4512 6063 8084 12126 16168 19273 24252 32336 38546 48504 57819 64672 77092 97008 115638 154184 194016 231276 308368 462552 616736 828739 905831 925104 1657478 1811662 1850208 2486217 2717493 3314956 3623324 4972434 5434986 6629912 7246648 9944868 10869972 13259824 14493296 19889736 21739944 26519648 28986592 38950733 39779472 43479888 77901466 79558944 86959776 116852199 155802932 233704398 311605864 467408796 623211728 934817592 1246423456 1869635184 3739270368