36473360400 has 225 divisors, whose sum is σ = 131023454023. Its totient is φ = 9717062400.

The previous prime is 36473360387. The next prime is 36473360419. The reversal of 36473360400 is 406337463.

The square root of 36473360400 is 190980.

It is a perfect power (a square), and thus also a powerful number.

36473360400 is a `hidden beast` number, since 3 + 6 + 47 + 3 + 3 + 604 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13749264 + 36459611136 = 3708^2 + 190944^2 .

It is a tau number, because it is divible by the number of its divisors (225).

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 34375870 + ... + 34376930.

Almost surely, 2^36473360400 is an apocalyptic number.

36473360400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

36473360400 is the 190980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36473360400

36473360400 is an abundant number, since it is smaller than the sum of its proper divisors (94550093623).

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

36473360400 is an equidigital number, since it uses as much as digits as its factorization.

36473360400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

Multiplying 36473360400 by its sum of digits (36), we get a square (1313040974400 = 1145880²).

36473360400 divided by its sum of digits (36) gives a square (1013148900 = 31830²).

Adding to 36473360400 its reverse (406337463), we get a palindrome (36879697863).

The spelling of 36473360400 in words is "thirty-six billion, four hundred seventy-three million, three hundred sixty thousand, four hundred".