36997844400 has 360 divisors, whose sum is σ = 142048408320. Its totient is φ = 8842176000.

The previous prime is 36997844341. The next prime is 36997844423. The reversal of 36997844400 is 444879963.

It is a happy number.

36997844400 is a `hidden beast` number, since 36 + 9 + 97 + 84 + 440 + 0 = 666.

36997844400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×36997844400² (a number of 22 digits) contains 22 as substring.

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, 2805021 + ... + 2818179.

It is an arithmetic number, because the mean of its divisors is an integer number (394578912).

Almost surely, 2^36997844400 is an apocalyptic number.

36997844400 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 36997844400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71024204160).

36997844400 is an abundant number, since it is smaller than the sum of its proper divisors (105050563920).

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

36997844400 is a wasteful number, since it uses less digits than its factorization.

36997844400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13265 (or 13251 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 36997844400 in words is "thirty-six billion, nine hundred ninety-seven million, eight hundred forty-four thousand, four hundred".