38337998400 has 252 divisors, whose sum is σ = 146744730132. Its totient is φ = 9436999680.

The previous prime is 38337998399. The next prime is 38337998407. The reversal of 38337998400 is 489973383.

38337998400 is a `hidden beast` number, since 3 + 83 + 3 + 79 + 98 + 400 = 666.

38337998400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3795545664 + 34542452736 = 61608^2 + 185856^2 .

It is not an unprimeable number, because it can be changed into a prime (38337998407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 84802 + ... + 289598.

Almost surely, 2^38337998400 is an apocalyptic number.

38337998400 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 38337998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73372365066).

38337998400 is an abundant number, since it is smaller than the sum of its proper divisors (108406731732).

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

38337998400 is a wasteful number, since it uses less digits than its factorization.

38337998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204838 (or 204820 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 38337998400 in words is "thirty-eight billion, three hundred thirty-seven million, nine hundred ninety-eight thousand, four hundred".