38313475200 has 1536 divisors, whose sum is σ = 188687923200. Its totient is φ = 7332249600.

The previous prime is 38313475157. The next prime is 38313475231. The reversal of 38313475200 is 257431383.

38313475200 is a `hidden beast` number, since 3 + 83 + 13 + 47 + 520 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 86486179 + ... + 86486621.

It is an arithmetic number, because the mean of its divisors is an integer number (122843700).

Almost surely, 2^38313475200 is an apocalyptic number.

38313475200 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 38313475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94343961600).

38313475200 is an abundant number, since it is smaller than the sum of its proper divisors (150374448000).

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

38313475200 is a wasteful number, since it uses less digits than its factorization.

38313475200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 38313475200 in words is "thirty-eight billion, three hundred thirteen million, four hundred seventy-five thousand, two hundred".