36946944 has 132 divisors (see below), whose sum is σ = 112830640. Its totient is φ = 11612160.

The previous prime is 36946879. The next prime is 36946961. The reversal of 36946944 is 44964963.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (559872) is a multiple of the sum of its prime factors (256).

It is a self number, because there is not a number n which added to its sum of digits gives 36946944.

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, 174999 + ... + 175209.

Almost surely, 2^36946944 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 36946944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56415320).

36946944 is an abundant number, since it is smaller than the sum of its proper divisors (75883696).

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

36946944 is a wasteful number, since it uses less digits than its factorization.

36946944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 235 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 36946944 is about 6078.3997894183. The cubic root of 36946944 is about 333.0628347732.

The spelling of 36946944 in words is "thirty-six million, nine hundred forty-six thousand, nine hundred forty-four".