36883680 has 96 divisors (see below), whose sum is σ = 118952064. Its totient is φ = 9601536.

The previous prime is 36883633. The next prime is 36883699. The reversal of 36883680 is 8638863.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19747 + ... + 21533.

It is an arithmetic number, because the mean of its divisors is an integer number (1239084).

Almost surely, 2^36883680 is an apocalyptic number.

36883680 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 36883680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59476032).

36883680 is an abundant number, since it is smaller than the sum of its proper divisors (82068384).

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

36883680 is a wasteful number, since it uses less digits than its factorization.

36883680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 36883680 is about 6073.1935585818. The cubic root of 36883680 is about 332.8726257612.

It can be divided in two parts, 368 and 83680, that added together give a palindrome (84048).

The spelling of 36883680 in words is "thirty-six million, eight hundred eighty-three thousand, six hundred eighty".