3142944 has 72 divisors (see below), whose sum is σ = 10221120. Its totient is φ = 897408.

The previous prime is 3142939. The next prime is 3142949. The reversal of 3142944 is 4492413.

It is an interprime number because it is at equal distance from previous prime (3142939) and next prime (3142949).

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

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

It is not an unprimeable number, because it can be changed into a prime (3142949) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1237 + ... + 2795.

It is an arithmetic number, because the mean of its divisors is an integer number (141960).

Almost surely, 2^3142944 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 3142944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5110560).

3142944 is an abundant number, since it is smaller than the sum of its proper divisors (7078176).

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

3142944 is a wasteful number, since it uses less digits than its factorization.

3142944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 1571 counting only the distinct ones).

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

The square root of 3142944 is about 1772.8350177047. The cubic root of 3142944 is about 146.4801854023.

The spelling of 3142944 in words is "three million, one hundred forty-two thousand, nine hundred forty-four".