38997504000 has 1664 divisors, whose sum is σ = 183184834560. Its totient is φ = 7962624000.

The previous prime is 38997503983. The next prime is 38997504041. The reversal of 38997504000 is 40579983.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1257983985 + ... + 1257984015.

It is an arithmetic number, because the mean of its divisors is an integer number (110087040).

Almost surely, 2^38997504000 is an apocalyptic number.

38997504000 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 38997504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91592417280).

38997504000 is an abundant number, since it is smaller than the sum of its proper divisors (144187330560).

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

38997504000 is a wasteful number, since it uses less digits than its factorization.

38997504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 38997504000 in words is "thirty-eight billion, nine hundred ninety-seven million, five hundred four thousand".