3724632 has 72 divisors (see below), whose sum is σ = 10775700. Its totient is φ = 1161984.

The previous prime is 3724631. The next prime is 3724657. The reversal of 3724632 is 2364273.

3724632 is a `hidden beast` number, since 3 + 7 + 24 + 632 = 666.

3724632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 3724596 and 3724605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3724631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20719 + ... + 20897.

Almost surely, 2^3724632 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 3724632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5387850).

3724632 is an abundant number, since it is smaller than the sum of its proper divisors (7051068).

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

3724632 is a wasteful number, since it uses less digits than its factorization.

3724632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 201 counting only the distinct ones).

The product of its digits is 6048, while the sum is 27.

The square root of 3724632 is about 1929.9305686993. The cubic root of 3724632 is about 155.0105022367.

It can be divided in two parts, 3724 and 632, that added together give a square (4356 = 66²).

The spelling of 3724632 in words is "three million, seven hundred twenty-four thousand, six hundred thirty-two".