3639504 has 80 divisors (see below), whose sum is σ = 10517184. Its totient is φ = 1075200.

The previous prime is 3639499. The next prime is 3639509. The reversal of 3639504 is 4059363.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3639499) and next prime (3639509).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3639509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32152 + ... + 32264.

Almost surely, 2^3639504 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 3639504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5258592).

3639504 is an abundant number, since it is smaller than the sum of its proper divisors (6877680).

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

3639504 is a wasteful number, since it uses less digits than its factorization.

3639504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 3639504 is about 1907.7484110857. The cubic root of 3639504 is about 153.8204462686.

The spelling of 3639504 in words is "three million, six hundred thirty-nine thousand, five hundred four".