38288567520 has 144 divisors (see below), whose sum is σ = 149325452640. Its totient is φ = 8751670272.

The previous prime is 38288567501. The next prime is 38288567561. The reversal of 38288567520 is 2576588283.

38288567520 is a `hidden beast` number, since 3 + 8 + 28 + 8 + 567 + 52 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×38288567520³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1889155 + ... + 1909314.

It is an arithmetic number, because the mean of its divisors is an integer number (1036982310).

Almost surely, 2^38288567520 is an apocalyptic number.

38288567520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38288567520 is an abundant number, since it is smaller than the sum of its proper divisors (111036885120).

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

38288567520 is a wasteful number, since it uses less digits than its factorization.

38288567520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3798497 (or 3798486 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 38288567520 in words is "thirty-eight billion, two hundred eighty-eight million, five hundred sixty-seven thousand, five hundred twenty".