3690624 has 64 divisors (see below), whose sum is σ = 11211840. Its totient is φ = 1053696.

The previous prime is 3690623. The next prime is 3690629. The reversal of 3690624 is 4260963.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 3690591 and 3690600.

It is not an unprimeable number, because it can be changed into a prime (3690623) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2002 + ... + 3374.

It is an arithmetic number, because the mean of its divisors is an integer number (175185).

Almost surely, 2^3690624 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 3690624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5605920).

3690624 is an abundant number, since it is smaller than the sum of its proper divisors (7521216).

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

3690624 is a wasteful number, since it uses less digits than its factorization.

3690624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 3690624 is about 1921.0996850762. The cubic root of 3690624 is about 154.5372811448.

The spelling of 3690624 in words is "three million, six hundred ninety thousand, six hundred twenty-four".