36923720400 has 600 divisors, whose sum is σ = 153647201664. Its totient is φ = 8317209600.

The previous prime is 36923720389. The next prime is 36923720411. The reversal of 36923720400 is 402732963.

It is a happy number.

36923720400 is a `hidden beast` number, since 369 + 237 + 20 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (36923720389) and next prime (36923720411).

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×36923720400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16101654 + ... + 16103946.

Almost surely, 2^36923720400 is an apocalyptic number.

36923720400 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 36923720400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76823600832).

36923720400 is an abundant number, since it is smaller than the sum of its proper divisors (116723481264).

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

36923720400 is a wasteful number, since it uses less digits than its factorization.

36923720400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2401 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 36923720400 in words is "thirty-six billion, nine hundred twenty-three million, seven hundred twenty thousand, four hundred".