38364883200 has 1296 divisors, whose sum is σ = 171630264960. Its totient is φ = 8345272320.

The previous prime is 38364883159. The next prime is 38364883279. The reversal of 38364883200 is 238846383.

38364883200 is a `hidden beast` number, since 3 + 8 + 364 + 8 + 83 + 200 = 666.

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

It is a congruent number.

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, 194745502 + ... + 194745698.

It is an arithmetic number, because the mean of its divisors is an integer number (132430760).

Almost surely, 2^38364883200 is an apocalyptic number.

38364883200 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 38364883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85815132480).

38364883200 is an abundant number, since it is smaller than the sum of its proper divisors (133265381760).

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

38364883200 is a wasteful number, since it uses less digits than its factorization.

38364883200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 38364883200 in words is "thirty-eight billion, three hundred sixty-four million, eight hundred eighty-three thousand, two hundred".