38488089600 has 792 divisors, whose sum is σ = 149677295040. Its totient is φ = 9780756480.

The previous prime is 38488089583. The next prime is 38488089691. The reversal of 38488089600 is 698088483.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 143078266 + ... + 143078534.

Almost surely, 2^38488089600 is an apocalyptic number.

38488089600 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 38488089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74838647520).

38488089600 is an abundant number, since it is smaller than the sum of its proper divisors (111189205440).

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

38488089600 is a wasteful number, since it uses less digits than its factorization.

38488089600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 38488089600 in words is "thirty-eight billion, four hundred eighty-eight million, eighty-nine thousand, six hundred".