3972416 has 28 divisors (see below), whose sum is σ = 9009888. Its totient is φ = 1702272.

The previous prime is 3972413. The next prime is 3972427. The reversal of 3972416 is 6142793.

It is a tau number, because it is divible by the number of its divisors (28).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3972413) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3986 + ... + 4881.

Almost surely, 2^3972416 is an apocalyptic number.

It is an amenable number.

3972416 is an abundant number, since it is smaller than the sum of its proper divisors (5037472).

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

3972416 is an equidigital number, since it uses as much as digits as its factorization.

3972416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8886 (or 8876 counting only the distinct ones).

The product of its digits is 9072, while the sum is 32.

The square root of 3972416 is about 1993.0920701262. The cubic root of 3972416 is about 158.3743726183.

The spelling of 3972416 in words is "three million, nine hundred seventy-two thousand, four hundred sixteen".