3976272 has 60 divisors (see below), whose sum is σ = 11359764. Its totient is φ = 1297920.

The previous prime is 3976267. The next prime is 3976289. The reversal of 3976272 is 2726793.

It can be written as a sum of positive squares in 2 ways, for example, as 2005056 + 1971216 = 1416^2 + 1404^2 .

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

Its product of digits (31752) is a multiple of the sum of its prime factors (588).

It is a congruent number.

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, 7372 + ... + 7892.

Almost surely, 2^3976272 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 3976272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5679882).

3976272 is an abundant number, since it is smaller than the sum of its proper divisors (7383492).

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

3976272 is a wasteful number, since it uses less digits than its factorization.

3976272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 579 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 3976272 is about 1994.0591766545. The cubic root of 3976272 is about 158.4256003924.

It can be divided in two parts, 39762 and 72, that multiplied together give a square (2862864 = 1692²).

The spelling of 3976272 in words is "three million, nine hundred seventy-six thousand, two hundred seventy-two".