3972384 has 72 divisors (see below), whose sum is σ = 12176892. Its totient is φ = 1221120.

The previous prime is 3972377. The next prime is 3972413. The reversal of 3972384 is 4832793.

It can be written as a sum of positive squares in 2 ways, for example, as 3920400 + 51984 = 1980^2 + 228^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

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, 3214 + ... + 4274.

Almost surely, 2^3972384 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 3972384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6088446).

3972384 is an abundant number, since it is smaller than the sum of its proper divisors (8204508).

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

3972384 is a wasteful number, since it uses less digits than its factorization.

3972384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1079 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 3972384 is about 1993.0840423826. The cubic root of 3972384 is about 158.3739473528.

It can be divided in two parts, 3972 and 384, that added together give a square (4356 = 66²).

The spelling of 3972384 in words is "three million, nine hundred seventy-two thousand, three hundred eighty-four".