3632952 has 64 divisors (see below), whose sum is σ = 9907200. Its totient is φ = 1105920.

The previous prime is 3632939. The next prime is 3632953. The reversal of 3632952 is 2592363.

It is a d-powerful number, because it can be written as 3⁴ + 6⁸ + 3⁴ + 2³ + 9 + 5⁹ + 2⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3632953) 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, 14008 + ... + 14264.

It is an arithmetic number, because the mean of its divisors is an integer number (154800).

Almost surely, 2^3632952 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 3632952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4953600).

3632952 is an abundant number, since it is smaller than the sum of its proper divisors (6274248).

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

3632952 is a wasteful number, since it uses less digits than its factorization.

3632952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 312 counting only the distinct ones).

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

The square root of 3632952 is about 1906.0304299774. The cubic root of 3632952 is about 153.7280859771.

The spelling of 3632952 in words is "three million, six hundred thirty-two thousand, nine hundred fifty-two".