38194951200 has 432 divisors, whose sum is σ = 149301944064. Its totient is φ = 8447846400.

The previous prime is 38194951199. The next prime is 38194951211. The reversal of 38194951200 is 215949183.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 71 ways as a sum of consecutive naturals, for example, 3640362 + ... + 3650838.

It is an arithmetic number, because the mean of its divisors is an integer number (345606352).

Almost surely, 2^38194951200 is an apocalyptic number.

38194951200 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 38194951200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74650972032).

38194951200 is an abundant number, since it is smaller than the sum of its proper divisors (111106992864).

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

38194951200 is a wasteful number, since it uses less digits than its factorization.

38194951200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10545 (or 10525 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 38194951200 in words is "thirty-eight billion, one hundred ninety-four million, nine hundred fifty-one thousand, two hundred".