3960972 has 36 divisors (see below), whose sum is σ = 10229856. Its totient is φ = 1291680.

The previous prime is 3960967. The next prime is 3960977. The reversal of 3960972 is 2790693.

It is an interprime number because it is at equal distance from previous prime (3960967) and next prime (3960977).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3960977) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 522 + ... + 2862.

Almost surely, 2^3960972 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 3960972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5114928).

3960972 is an abundant number, since it is smaller than the sum of its proper divisors (6268884).

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

3960972 is a wasteful number, since it uses less digits than its factorization.

3960972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2398 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 3960972 is about 1990.2190834177. The cubic root of 3960972 is about 158.2221411993. Note that the first 3 decimals are identical.

The spelling of 3960972 in words is "three million, nine hundred sixty thousand, nine hundred seventy-two".