3972440 has 32 divisors (see below), whose sum is σ = 9132480. Its totient is φ = 1554432.

The previous prime is 3972439. The next prime is 3972467. The reversal of 3972440 is 442793.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

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, 824 + ... + 2936.

It is an arithmetic number, because the mean of its divisors is an integer number (285390).

Almost surely, 2^3972440 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 3972440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4566240).

3972440 is an abundant number, since it is smaller than the sum of its proper divisors (5160040).

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

3972440 is a wasteful number, since it uses less digits than its factorization.

3972440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 3972440 is about 1993.0980909127. The cubic root of 3972440 is about 158.3746915658.

It can be divided in two parts, 3 and 972440, that multiplied together give a triangular number (2917320 = T₂₄₁₅).

The spelling of 3972440 in words is "three million, nine hundred seventy-two thousand, four hundred forty".