38508825600 has 990 divisors, whose sum is σ = 166311913020. Its totient is φ = 8778792960.

The previous prime is 38508825599. The next prime is 38508825647. The reversal of 38508825600 is 652880583.

It is a happy number.

38508825600 is a `hidden beast` number, since 3 + 8 + 5 + 0 + 8 + 82 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 101606211 + ... + 101606589.

Almost surely, 2^38508825600 is an apocalyptic number.

38508825600 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 38508825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83155956510).

38508825600 is an abundant number, since it is smaller than the sum of its proper divisors (127803087420).

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

38508825600 is a wasteful number, since it uses less digits than its factorization.

38508825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 38508825600 in words is "thirty-eight billion, five hundred eight million, eight hundred twenty-five thousand, six hundred".