3242142928 has 80 divisors (see below), whose sum is σ = 6805814400. Its totient is φ = 1491607040.

The previous prime is 3242142923. The next prime is 3242142961. The reversal of 3242142928 is 8292412423.

It is a happy number.

It is a super-2 number, since 2×3242142928² = 21022981531160826368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3242142923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4919463 + ... + 4920121.

It is an arithmetic number, because the mean of its divisors is an integer number (85072680).

Almost surely, 2^3242142928 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 3242142928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3402907200).

3242142928 is an abundant number, since it is smaller than the sum of its proper divisors (3563671472).

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

3242142928 is a wasteful number, since it uses less digits than its factorization.

3242142928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1174 counting only the distinct ones).

The product of its digits is 55296, while the sum is 37.

The square root of 3242142928 is about 56939.8184752990. The cubic root of 3242142928 is about 1480.0534020176.

The spelling of 3242142928 in words is "three billion, two hundred forty-two million, one hundred forty-two thousand, nine hundred twenty-eight".