3648624 has 40 divisors (see below), whose sum is σ = 10773120. Its totient is φ = 1042368.

The previous prime is 3648587. The next prime is 3648643. The reversal of 3648624 is 4268463.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5094 + ... + 5765.

It is an arithmetic number, because the mean of its divisors is an integer number (269328).

Almost surely, 2^3648624 is an apocalyptic number.

It is an amenable number.

3648624 is an abundant number, since it is smaller than the sum of its proper divisors (7124496).

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

3648624 is a wasteful number, since it uses less digits than its factorization.

3648624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10877 (or 10871 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 3648624 is about 1910.1371678495. The cubic root of 3648624 is about 153.9488220339.

The spelling of 3648624 in words is "three million, six hundred forty-eight thousand, six hundred twenty-four".