38089958400 has 924 divisors, whose sum is σ = 153421004212. Its totient is φ = 9316270080.

The previous prime is 38089958399. The next prime is 38089958419. The reversal of 38089958400 is 485998083.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7023780864 + 31066177536 = 83808^2 + 176256^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 242611122 + ... + 242611278.

Almost surely, 2^38089958400 is an apocalyptic number.

38089958400 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 38089958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76710502106).

38089958400 is an abundant number, since it is smaller than the sum of its proper divisors (115331045812).

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

38089958400 is a wasteful number, since it uses less digits than its factorization.

38089958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 38089958400 in words is "thirty-eight billion, eighty-nine million, nine hundred fifty-eight thousand, four hundred".