38674831200 has 576 divisors, whose sum is σ = 137583194112. Its totient is φ = 9407692800.

The previous prime is 38674831199. The next prime is 38674831213. The reversal of 38674831200 is 213847683.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 165986284 + ... + 165986516.

It is an arithmetic number, because the mean of its divisors is an integer number (238859712).

Almost surely, 2^38674831200 is an apocalyptic number.

38674831200 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 38674831200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68791597056).

38674831200 is an abundant number, since it is smaller than the sum of its proper divisors (98908362912).

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

38674831200 is a wasteful number, since it uses less digits than its factorization.

38674831200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

It can be divided in two parts, 3867483 and 1200, that added together give a palindrome (3868683).

The spelling of 38674831200 in words is "thirty-eight billion, six hundred seventy-four million, eight hundred thirty-one thousand, two hundred".