3972024 has 128 divisors (see below), whose sum is σ = 13132800. Its totient is φ = 1088640.

The previous prime is 3972019. The next prime is 3972029. The reversal of 3972024 is 4202793.

It is an interprime number because it is at equal distance from previous prime (3972019) and next prime (3972029).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3972029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55909 + ... + 55979.

It is an arithmetic number, because the mean of its divisors is an integer number (102600).

Almost surely, 2^3972024 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 3972024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6566400).

3972024 is an abundant number, since it is smaller than the sum of its proper divisors (9160776).

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

3972024 is a wasteful number, since it uses less digits than its factorization.

3972024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 120 counting only the distinct ones).

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

The square root of 3972024 is about 1992.9937280383. The cubic root of 3972024 is about 158.3691629594.

The spelling of 3972024 in words is "three million, nine hundred seventy-two thousand, twenty-four".