3932640 has 72 divisors (see below), whose sum is σ = 13425048. Its totient is φ = 1048320.

The previous prime is 3932633. The next prime is 3932641. The reversal of 3932640 is 462393.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3932641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75 + ... + 2805.

It is an arithmetic number, because the mean of its divisors is an integer number (186459).

Almost surely, 2^3932640 is an apocalyptic number.

3932640 is a gapful number since it is divisible by the number (30) 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 3932640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6712524).

3932640 is an abundant number, since it is smaller than the sum of its proper divisors (9492408).

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

3932640 is a wasteful number, since it uses less digits than its factorization.

3932640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2752 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3932640 is about 1983.0885002944. The cubic root of 3932640 is about 157.8439949231.

It can be divided in two parts, 393 and 2640, that multiplied together give a triangular number (1037520 = T₁₄₄₀).

The spelling of 3932640 in words is "three million, nine hundred thirty-two thousand, six hundred forty".