38490432000 has 320 divisors, whose sum is σ = 128584520064. Its totient is φ = 10215014400.

The previous prime is 38490431923. The next prime is 38490432007. The reversal of 38490432000 is 23409483.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (38490432007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58943674 + ... + 58944326.

Almost surely, 2^38490432000 is an apocalyptic number.

38490432000 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 38490432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64292260032).

38490432000 is an abundant number, since it is smaller than the sum of its proper divisors (90094088064).

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

38490432000 is an equidigital number, since it uses as much as digits as its factorization.

38490432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 38490432000 in words is "thirty-eight billion, four hundred ninety million, four hundred thirty-two thousand".