38356202356992 has 1008 divisors, whose sum is σ = 126485540335728. Its totient is φ = 11530436935680.

The previous prime is 38356202356951. The next prime is 38356202357027. The reversal of 38356202356992 is 29965320265383.

38356202356992 is a `hidden beast` number, since 3 + 8 + 3 + 5 + 62 + 0 + 2 + 3 + 569 + 9 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3211034628096 + 35145167728896 = 1791936^2 + 5928336^2 .

It is a super-2 number, since 2×38356202356992² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 40761107242 + ... + 40761108182.

It is an arithmetic number, because the mean of its divisors is an integer number (125481686841).

Almost surely, 2^{38356202356992} is an apocalyptic number.

38356202356992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38356202356992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63242770167864).

38356202356992 is an abundant number, since it is smaller than the sum of its proper divisors (88129337978736).

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

38356202356992 is an equidigital number, since it uses as much as digits as its factorization.

38356202356992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 125971200, while the sum is 63.

The spelling of 38356202356992 in words is "thirty-eight trillion, three hundred fifty-six billion, two hundred two million, three hundred fifty-six thousand, nine hundred ninety-two".