3696624 has 80 divisors (see below), whose sum is σ = 10912000. Its totient is φ = 1197504.

The previous prime is 3696619. The next prime is 3696643. The reversal of 3696624 is 4266963.

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

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18477 + ... + 18675.

It is an arithmetic number, because the mean of its divisors is an integer number (136400).

Almost surely, 2^3696624 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 3696624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5456000).

3696624 is an abundant number, since it is smaller than the sum of its proper divisors (7215376).

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

3696624 is a wasteful number, since it uses less digits than its factorization.

3696624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 247 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 3696624 is about 1922.6606564862. The cubic root of 3696624 is about 154.6209816847.

The spelling of 3696624 in words is "three million, six hundred ninety-six thousand, six hundred twenty-four".