3972240 has 100 divisors (see below), whose sum is σ = 13818684. Its totient is φ = 1057536.

The previous prime is 3972233. The next prime is 3972251. The reversal of 3972240 is 422793.

It can be written as a sum of positive squares in 2 ways, for example, as 467856 + 3504384 = 684^2 + 1872^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6174 + ... + 6786.

Almost surely, 2^3972240 is an apocalyptic number.

3972240 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 3972240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6909342).

3972240 is an abundant number, since it is smaller than the sum of its proper divisors (9846444).

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

3972240 is a wasteful number, since it uses less digits than its factorization.

3972240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3972240 is about 1993.0479171360. The cubic root of 3972240 is about 158.3720336302.

The spelling of 3972240 in words is "three million, nine hundred seventy-two thousand, two hundred forty".