38997980928000 has 1152 divisors, whose sum is σ = 152167690584000. Its totient is φ = 9851491123200.

The previous prime is 38997980927897. The next prime is 38997980928043. The reversal of 38997980928000 is 82908979983.

38997980928000 is a `hidden beast` number, since 389 + 9 + 7 + 9 + 80 + 92 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 38997980928000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2495224186 + ... + 2495239814.

Almost surely, 2^{38997980928000} is an apocalyptic number.

38997980928000 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 38997980928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76083845292000).

38997980928000 is an abundant number, since it is smaller than the sum of its proper divisors (113169709656000).

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

38997980928000 is a wasteful number, since it uses less digits than its factorization.

38997980928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15713 (or 15658 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 72.

The spelling of 38997980928000 in words is "thirty-eight trillion, nine hundred ninety-seven billion, nine hundred eighty million, nine hundred twenty-eight thousand".