3904272 has 60 divisors (see below), whose sum is σ = 11509680. Its totient is φ = 1232064.

The previous prime is 3904261. The next prime is 3904283. The reversal of 3904272 is 2724093.

3904272 is a `hidden beast` number, since 390 + 4 + 272 = 666.

It is an interprime number because it is at equal distance from previous prime (3904261) and next prime (3904283).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2023 + ... + 3449.

It is an arithmetic number, because the mean of its divisors is an integer number (191828).

Almost surely, 2^3904272 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 3904272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5754840).

3904272 is an abundant number, since it is smaller than the sum of its proper divisors (7605408).

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

3904272 is a wasteful number, since it uses less digits than its factorization.

3904272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3904272 is about 1975.9230754258. The cubic root of 3904272 is about 157.4635440945.

The spelling of 3904272 in words is "three million, nine hundred four thousand, two hundred seventy-two".