3942144 has 108 divisors (see below), whose sum is σ = 11957400. Its totient is φ = 1247232.

The previous prime is 3942137. The next prime is 3942209. The reversal of 3942144 is 4412493.

It is a nude number because it is divisible by every one of its digits.

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, 66787 + ... + 66845.

Almost surely, 2^3942144 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 3942144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5978700).

3942144 is an abundant number, since it is smaller than the sum of its proper divisors (8015256).

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

3942144 is a wasteful number, since it uses less digits than its factorization.

3942144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 93 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 3942144 is about 1985.4833164749. The cubic root of 3942144 is about 157.9710463422.

The spelling of 3942144 in words is "three million, nine hundred forty-two thousand, one hundred forty-four".