36860313600 has 900 divisors, whose sum is σ = 150440636808. Its totient is φ = 8847360000.

The previous prime is 36860313593. The next prime is 36860313629. The reversal of 36860313600 is 631306863.

36860313600 is a `hidden beast` number, since 36 + 8 + 6 + 0 + 3 + 13 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a super-3 number, since 3×36860313600³ (a number of 33 digits) contains 333 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 59 ways as a sum of consecutive naturals, for example, 364953550 + ... + 364953650.

Almost surely, 2^36860313600 is an apocalyptic number.

36860313600 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 36860313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75220318404).

36860313600 is an abundant number, since it is smaller than the sum of its proper divisors (113580323208).

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

36860313600 is a wasteful number, since it uses less digits than its factorization.

36860313600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 36860313600 in words is "thirty-six billion, eight hundred sixty million, three hundred thirteen thousand, six hundred".