36254822400 has 936 divisors, whose sum is σ = 141968246784. Its totient is φ = 9157017600.

The previous prime is 36254822399. The next prime is 36254822413. The reversal of 36254822400 is 422845263.

36254822400 is a `hidden beast` number, since 3 + 625 + 4 + 8 + 2 + 24 + 0 + 0 = 666.

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

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, 771379177 + ... + 771379223.

Almost surely, 2^36254822400 is an apocalyptic number.

36254822400 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 36254822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70984123392).

36254822400 is an abundant number, since it is smaller than the sum of its proper divisors (105713424384).

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

36254822400 is an equidigital number, since it uses as much as digits as its factorization.

36254822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 36254822400 in words is "thirty-six billion, two hundred fifty-four million, eight hundred twenty-two thousand, four hundred".