36353664 has 128 divisors (see below), whose sum is σ = 109588800. Its totient is φ = 11860992.

The previous prime is 36353663. The next prime is 36353689. The reversal of 36353664 is 46635363.

It is a happy number.

36353664 is a `hidden beast` number, since 3 + 63 + 536 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (36353663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231474 + ... + 231630.

Almost surely, 2^36353664 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 36353664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54794400).

36353664 is an abundant number, since it is smaller than the sum of its proper divisors (73235136).

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

36353664 is a wasteful number, since it uses less digits than its factorization.

36353664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 229 counting only the distinct ones).

The product of its digits is 116640, while the sum is 36.

The square root of 36353664 is about 6029.3999701463. The cubic root of 36353664 is about 331.2704743960.

The spelling of 36353664 in words is "thirty-six million, three hundred fifty-three thousand, six hundred sixty-four".