36307680 has 48 divisors (see below), whose sum is σ = 114370704. Its totient is φ = 9681920.

The previous prime is 36307669. The next prime is 36307709. The reversal of 36307680 is 8670363.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37341 + ... + 38300.

It is an arithmetic number, because the mean of its divisors is an integer number (2382723).

Almost surely, 2^36307680 is an apocalyptic number.

36307680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36307680 is an abundant number, since it is smaller than the sum of its proper divisors (78063024).

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

36307680 is a wasteful number, since it uses less digits than its factorization.

36307680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75659 (or 75651 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 36307680 is about 6025.5854487344. The cubic root of 36307680 is about 331.1307400275.

It can be divided in two parts, 3630 and 7680, that multiplied together give a square (27878400 = 5280²).

The spelling of 36307680 in words is "thirty-six million, three hundred seven thousand, six hundred eighty".