3972064 has 48 divisors (see below), whose sum is σ = 8467200. Its totient is φ = 1828224.

The previous prime is 3972037. The next prime is 3972071. The reversal of 3972064 is 4602793.

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, 28507 + ... + 28645.

It is an arithmetic number, because the mean of its divisors is an integer number (176400).

Almost surely, 2^3972064 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 3972064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4233600).

3972064 is an abundant number, since it is smaller than the sum of its proper divisors (4495136).

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

3972064 is a wasteful number, since it uses less digits than its factorization.

3972064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 3972064 is about 1993.0037631675. The cubic root of 3972064 is about 158.3696945730.

It can be divided in two parts, 3 and 972064, that multiplied together give a palindrome (2916192).

The spelling of 3972064 in words is "three million, nine hundred seventy-two thousand, sixty-four".