36417664 has 32 divisors (see below), whose sum is σ = 73256400. Its totient is φ = 18031872.

The previous prime is 36417659. The next prime is 36417673. The reversal of 36417664 is 46671463.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12367 + ... + 15025.

Almost surely, 2^36417664 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 36417664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36628200).

36417664 is an abundant number, since it is smaller than the sum of its proper divisors (36838736).

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

36417664 is a wasteful number, since it uses less digits than its factorization.

36417664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2780 (or 2768 counting only the distinct ones).

The product of its digits is 72576, while the sum is 37.

The square root of 36417664 is about 6034.7049637907. The cubic root of 36417664 is about 331.4647590858.

The spelling of 36417664 in words is "thirty-six million, four hundred seventeen thousand, six hundred sixty-four".