36171878400 has 1170 divisors, whose sum is σ = 157616382330. Its totient is φ = 8174960640.

The previous prime is 36171878389. The next prime is 36171878419. The reversal of 36171878400 is 487817163.

36171878400 is a `hidden beast` number, since 3 + 6 + 171 + 8 + 78 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 260112384 + 35911766016 = 16128^2 + 189504^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 406425556 + ... + 406425644.

Almost surely, 2^36171878400 is an apocalyptic number.

36171878400 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 36171878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78808191165).

36171878400 is an abundant number, since it is smaller than the sum of its proper divisors (121444503930).

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

36171878400 is an equidigital number, since it uses as much as digits as its factorization.

36171878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 36171878400 in words is "thirty-six billion, one hundred seventy-one million, eight hundred seventy-eight thousand, four hundred".