3672936 has 48 divisors (see below), whose sum is σ = 10046400. Its totient is φ = 1212192.

The previous prime is 3672923. The next prime is 3672959. The reversal of 3672936 is 6392763.

3672936 is a `hidden beast` number, since 367 + 293 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3672936.

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, 9825 + ... + 10191.

It is an arithmetic number, because the mean of its divisors is an integer number (209300).

Almost surely, 2^3672936 is an apocalyptic number.

3672936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3672936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5023200).

3672936 is an abundant number, since it is smaller than the sum of its proper divisors (6373464).

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

3672936 is a wasteful number, since it uses less digits than its factorization.

3672936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 511 counting only the distinct ones).

The product of its digits is 40824, while the sum is 36.

The square root of 3672936 is about 1916.4905426325. The cubic root of 3672936 is about 154.2900028202.

The spelling of 3672936 in words is "three million, six hundred seventy-two thousand, nine hundred thirty-six".