38795059200 has 336 divisors, whose sum is σ = 129300402816. Its totient is φ = 10262937600.

The previous prime is 38795059187. The next prime is 38795059201. The reversal of 38795059200 is 295059783.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 38795059200.

It is not an unprimeable number, because it can be changed into a prime (38795059201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143155065 + ... + 143155335.

Almost surely, 2^38795059200 is an apocalyptic number.

38795059200 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 38795059200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64650201408).

38795059200 is an abundant number, since it is smaller than the sum of its proper divisors (90505343616).

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

38795059200 is a wasteful number, since it uses less digits than its factorization.

38795059200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 48.

The spelling of 38795059200 in words is "thirty-eight billion, seven hundred ninety-five million, fifty-nine thousand, two hundred".