3242088960 has 160 divisors (see below), whose sum is σ = 11307079872. Its totient is φ = 785940480.

The previous prime is 3242088919. The next prime is 3242088973. The reversal of 3242088960 is 698802423.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×3242088960² = 21022281649107763200, 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, 65292 + ... + 103668.

Almost surely, 2^3242088960 is an apocalyptic number.

3242088960 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 3242088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5653539936).

3242088960 is an abundant number, since it is smaller than the sum of its proper divisors (8064990912).

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

3242088960 is a wasteful number, since it uses less digits than its factorization.

3242088960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38414 (or 38398 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 3242088960 is about 56939.3445694627. The cubic root of 3242088960 is about 1480.0451897573.

The spelling of 3242088960 in words is "three billion, two hundred forty-two million, eighty-eight thousand, nine hundred sixty".