36897278400 has 504 divisors, whose sum is σ = 134761620240. Its totient is φ = 9571614720.

The previous prime is 36897278393. The next prime is 36897278441. The reversal of 36897278400 is 487279863.

36897278400 is a `hidden beast` number, since 368 + 9 + 7 + 278 + 4 + 0 + 0 = 666.

36897278400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×36897278400² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 116395042 + ... + 116395358.

Almost surely, 2^36897278400 is an apocalyptic number.

36897278400 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 36897278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67380810120).

36897278400 is an abundant number, since it is smaller than the sum of its proper divisors (97864341840).

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

36897278400 is a wasteful number, since it uses less digits than its factorization.

36897278400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 36897278400 in words is "thirty-six billion, eight hundred ninety-seven million, two hundred seventy-eight thousand, four hundred".