38926861286400 has 1584 divisors, whose sum is σ = 152737364183040. Its totient is φ = 9807165849600.

The previous prime is 38926861286359. The next prime is 38926861286431. The reversal of 38926861286400 is 468216862983.

38926861286400 is a `hidden beast` number, since 3 + 8 + 9 + 2 + 6 + 8 + 612 + 8 + 6 + 4 + 0 + 0 = 666.

38926861286400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×38926861286400² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8478948105 + ... + 8478952695.

Almost surely, 2^{38926861286400} is an apocalyptic number.

38926861286400 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 38926861286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76368682091520).

38926861286400 is an abundant number, since it is smaller than the sum of its proper divisors (113810502896640).

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

38926861286400 is a wasteful number, since it uses less digits than its factorization.

38926861286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4712 (or 4677 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 38926861286400 in words is "thirty-eight trillion, nine hundred twenty-six billion, eight hundred sixty-one million, two hundred eighty-six thousand, four hundred".