3924120 has 64 divisors (see below), whose sum is σ = 12013920. Its totient is φ = 1025024.

The previous prime is 3924119. The next prime is 3924121. The reversal of 3924120 is 214293.

3924120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3924119) and next prime (3924121).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3924121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6052 + ... + 6668.

Almost surely, 2^3924120 is an apocalyptic number.

3924120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3924120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6006960).

3924120 is an abundant number, since it is smaller than the sum of its proper divisors (8089800).

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

3924120 is a wasteful number, since it uses less digits than its factorization.

3924120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 3924120 is about 1980.9391712014. The cubic root of 3924120 is about 157.7299236977.

The spelling of 3924120 in words is "three million, nine hundred twenty-four thousand, one hundred twenty".