38872363200 has 1008 divisors, whose sum is σ = 154422116352. Its totient is φ = 8515584000.

The previous prime is 38872363199. The next prime is 38872363237. The reversal of 38872363200 is 236327883.

It is a super-2 number, since 2×38872363200² (a number of 22 digits) contains 22 as substring.

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, 306081537 + ... + 306081663.

It is an arithmetic number, because the mean of its divisors is an integer number (153196544).

Almost surely, 2^38872363200 is an apocalyptic number.

38872363200 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 38872363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77211058176).

38872363200 is an abundant number, since it is smaller than the sum of its proper divisors (115549753152).

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

38872363200 is a wasteful number, since it uses less digits than its factorization.

38872363200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 38872363200 in words is "thirty-eight billion, eight hundred seventy-two million, three hundred sixty-three thousand, two hundred".