3142920 has 64 divisors (see below), whose sum is σ = 10290240. Its totient is φ = 761600.

The previous prime is 3142907. The next prime is 3142939. The reversal of 3142920 is 292413.

It is a super-2 number, since 2×3142920² = 19755892252800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130 + ... + 2510.

It is an arithmetic number, because the mean of its divisors is an integer number (160785).

Almost surely, 2^3142920 is an apocalyptic number.

3142920 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 3142920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5145120).

3142920 is an abundant number, since it is smaller than the sum of its proper divisors (7147320).

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

3142920 is a wasteful number, since it uses less digits than its factorization.

3142920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2406 (or 2402 counting only the distinct ones).

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

The square root of 3142920 is about 1772.8282488724. The cubic root of 3142920 is about 146.4798125530.

The spelling of 3142920 in words is "three million, one hundred forty-two thousand, nine hundred twenty".