38057998305600 has 5376 divisors, whose sum is σ = 189167092531200. Its totient is φ = 7219392675840.

The previous prime is 38057998305599. The next prime is 38057998305623. The reversal of 38057998305600 is 650389975083.

38057998305600 is a `hidden beast` number, since 3 + 8 + 0 + 579 + 9 + 8 + 3 + 0 + 56 + 0 + 0 = 666.

It is a super-2 number, since 2×38057998305600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 767 ways as a sum of consecutive naturals, for example, 129890779054 + ... + 129890779346.

It is an arithmetic number, because the mean of its divisors is an integer number (35187331200).

Almost surely, 2^{38057998305600} is an apocalyptic number.

38057998305600 is a gapful number since it is divisible by the number (30) 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 38057998305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94583546265600).

38057998305600 is an abundant number, since it is smaller than the sum of its proper divisors (151109094225600).

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

38057998305600 is a wasteful number, since it uses less digits than its factorization.

38057998305600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 38057998305600 in words is "thirty-eight trillion, fifty-seven billion, nine hundred ninety-eight million, three hundred five thousand, six hundred".