3972768 has 48 divisors (see below), whose sum is σ = 10795680. Its totient is φ = 1277696.

The previous prime is 3972757. The next prime is 3972791. The reversal of 3972768 is 8672793.

3972768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2071 + ... + 3497.

It is an arithmetic number, because the mean of its divisors is an integer number (224910).

Almost surely, 2^3972768 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 3972768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5397840).

3972768 is an abundant number, since it is smaller than the sum of its proper divisors (6822912).

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

3972768 is a wasteful number, since it uses less digits than its factorization.

3972768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1461 counting only the distinct ones).

The product of its digits is 127008, while the sum is 42.

The square root of 3972768 is about 1993.1803731725. The cubic root of 3972768 is about 158.3790503872.

The spelling of 3972768 in words is "three million, nine hundred seventy-two thousand, seven hundred sixty-eight".