38077516800 has 396 divisors, whose sum is σ = 141408086456. Its totient is φ = 10152345600.

The previous prime is 38077516753. The next prime is 38077516811. The reversal of 38077516800 is 861577083.

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 35 ways as a sum of consecutive naturals, for example, 6217740 + ... + 6223860.

Almost surely, 2^38077516800 is an apocalyptic number.

38077516800 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 38077516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70704043228).

38077516800 is an abundant number, since it is smaller than the sum of its proper divisors (103330569656).

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

38077516800 is an equidigital number, since it uses as much as digits as its factorization.

38077516800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6166 (or 6131 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 38077516800 in words is "thirty-eight billion, seventy-seven million, five hundred sixteen thousand, eight hundred".