3972320 has 96 divisors (see below), whose sum is σ = 10686816. Its totient is φ = 1382400.

The previous prime is 3972301. The next prime is 3972329. The reversal of 3972320 is 232793.

3972320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3972320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3972329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65090 + ... + 65150.

It is an arithmetic number, because the mean of its divisors is an integer number (111321).

Almost surely, 2^3972320 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 3972320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5343408).

3972320 is an abundant number, since it is smaller than the sum of its proper divisors (6714496).

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

3972320 is a wasteful number, since it uses less digits than its factorization.

3972320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 26.

The square root of 3972320 is about 1993.0679867982. The cubic root of 3972320 is about 158.3730968151.

The spelling of 3972320 in words is "three million, nine hundred seventy-two thousand, three hundred twenty".