38004563520 has 1008 divisors, whose sum is σ = 173418081408. Its totient is φ = 7419985920.

The previous prime is 38004563483. The next prime is 38004563551. The reversal of 38004563520 is 2536540083.

It is a happy number.

38004563520 is a `hidden beast` number, since 3 + 80 + 0 + 4 + 56 + 3 + 520 = 666.

38004563520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 64088344 + ... + 64088936.

Almost surely, 2^38004563520 is an apocalyptic number.

38004563520 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 38004563520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86709040704).

38004563520 is an abundant number, since it is smaller than the sum of its proper divisors (135413517888).

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

38004563520 is a wasteful number, since it uses less digits than its factorization.

38004563520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 38004563520 in words is "thirty-eight billion, four million, five hundred sixty-three thousand, five hundred twenty".