3945972 has 72 divisors (see below), whose sum is σ = 10535616. Its totient is φ = 1143296.

The previous prime is 3945937. The next prime is 3945973. The reversal of 3945972 is 2795493.

Its product of digits (68040) is a multiple of the sum of its prime factors (105).

It is a self number, because there is not a number n which added to its sum of digits gives 3945972.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3945973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136054 + ... + 136082.

It is an arithmetic number, because the mean of its divisors is an integer number (146328).

Almost surely, 2^3945972 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 3945972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5267808).

3945972 is an abundant number, since it is smaller than the sum of its proper divisors (6589644).

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

3945972 is a wasteful number, since it uses less digits than its factorization.

3945972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 74 counting only the distinct ones).

The product of its digits is 68040, while the sum is 39.

The square root of 3945972 is about 1986.4470795871. The cubic root of 3945972 is about 158.0221621425.

The spelling of 3945972 in words is "three million, nine hundred forty-five thousand, nine hundred seventy-two".