38400912000 has 512 divisors, whose sum is σ = 154320940800. Its totient is φ = 9308160000.

The previous prime is 38400911999. The next prime is 38400912029. The reversal of 38400912000 is 21900483.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4747960 + ... + 4756040.

Almost surely, 2^38400912000 is an apocalyptic number.

38400912000 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 38400912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77160470400).

38400912000 is an abundant number, since it is smaller than the sum of its proper divisors (115920028800).

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

38400912000 is a wasteful number, since it uses less digits than its factorization.

38400912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8130 (or 8102 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 38400912000 in words is "thirty-eight billion, four hundred million, nine hundred twelve thousand".