36733664 has 72 divisors (see below), whose sum is σ = 81443880. Its totient is φ = 16290560.

The previous prime is 36733603. The next prime is 36733679. The reversal of 36733664 is 46633763.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 205127 + ... + 205305.

It is an arithmetic number, because the mean of its divisors is an integer number (1131165).

Almost surely, 2^36733664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36733664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40721940).

36733664 is an abundant number, since it is smaller than the sum of its proper divisors (44710216).

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

36733664 is a wasteful number, since it uses less digits than its factorization.

36733664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 245 counting only the distinct ones).

The product of its digits is 163296, while the sum is 38.

The square root of 36733664 is about 6060.8303061544. The cubic root of 36733664 is about 332.4207179017.

Subtracting 36733664 from its reverse (46633763), we obtain a palindrome (9900099).

It can be divided in two parts, 3673 and 3664, that added together give a palindrome (7337).

The spelling of 36733664 in words is "thirty-six million, seven hundred thirty-three thousand, six hundred sixty-four".