3972480 has 64 divisors (see below), whose sum is σ = 12668400. Its totient is φ = 1058816.

The previous prime is 3972467. The next prime is 3972499. The reversal of 3972480 is 842793.

It is a tau number, because it is divible by the number of its divisors (64).

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, 886 + ... + 2954.

Almost surely, 2^3972480 is an apocalyptic number.

3972480 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 3972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6334200).

3972480 is an abundant number, since it is smaller than the sum of its proper divisors (8695920).

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

3972480 is a wasteful number, since it uses less digits than its factorization.

3972480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2091 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 3972480 is about 1993.1081255165. The cubic root of 3972480 is about 158.3752231423.

The spelling of 3972480 in words is "three million, nine hundred seventy-two thousand, four hundred eighty".