36946368 has 70 divisors (see below), whose sum is σ = 109535976. Its totient is φ = 12313728.

The previous prime is 36946361. The next prime is 36946369. The reversal of 36946368 is 86364963.

36946368 is a `hidden beast` number, since 3 + 6 + 9 + 4 + 636 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36946361) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1621 + ... + 8747.

Almost surely, 2^36946368 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 36946368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54767988).

36946368 is an abundant number, since it is smaller than the sum of its proper divisors (72589608).

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

36946368 is an equidigital number, since it uses as much as digits as its factorization.

36946368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7151 (or 7132 counting only the distinct ones).

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

The square root of 36946368 is about 6078.3524083422. The cubic root of 36946368 is about 333.0611039562.

The spelling of 36946368 in words is "thirty-six million, nine hundred forty-six thousand, three hundred sixty-eight".