38400225120 has 384 divisors, whose sum is σ = 141893337600. Its totient is φ = 9672431616.

The previous prime is 38400225007. The next prime is 38400225167. The reversal of 38400225120 is 2152200483.

38400225120 is a `hidden beast` number, since 3 + 8 + 400 + 2 + 251 + 2 + 0 = 666.

38400225120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48180562 + ... + 48181358.

It is an arithmetic number, because the mean of its divisors is an integer number (369513900).

Almost surely, 2^38400225120 is an apocalyptic number.

38400225120 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 38400225120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70946668800).

38400225120 is an abundant number, since it is smaller than the sum of its proper divisors (103493112480).

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

38400225120 is a wasteful number, since it uses less digits than its factorization.

38400225120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 38400225120 in words is "thirty-eight billion, four hundred million, two hundred twenty-five thousand, one hundred twenty".