3913632 has 72 divisors (see below), whose sum is σ = 11321856. Its totient is φ = 1282176.

The previous prime is 3913627. The next prime is 3913633. The reversal of 3913632 is 2363193.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 3913596 and 3913605.

It is not an unprimeable number, because it can be changed into a prime (3913633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30753 + ... + 30879.

It is an arithmetic number, because the mean of its divisors is an integer number (157248).

Almost surely, 2^3913632 is an apocalyptic number.

3913632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3913632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5660928).

3913632 is an abundant number, since it is smaller than the sum of its proper divisors (7408224).

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

3913632 is a wasteful number, since it uses less digits than its factorization.

3913632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 239 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

The square root of 3913632 is about 1978.2901708293. The cubic root of 3913632 is about 157.5892766717.

The spelling of 3913632 in words is "three million, nine hundred thirteen thousand, six hundred thirty-two".