3242090880 has 512 divisors, whose sum is σ = 13415040000. Its totient is φ = 739694592.

The previous prime is 3242090869. The next prime is 3242090911. The reversal of 3242090880 is 880902423.

It is a super-2 number, since 2×3242090880² = 21022306548358348800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5926767 + ... + 5927313.

It is an arithmetic number, because the mean of its divisors is an integer number (26201250).

Almost surely, 2^3242090880 is an apocalyptic number.

3242090880 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 3242090880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6707520000).

3242090880 is an abundant number, since it is smaller than the sum of its proper divisors (10172949120).

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

3242090880 is an equidigital number, since it uses as much as digits as its factorization.

3242090880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3242090880 is about 56939.3614295067. The cubic root of 3242090880 is about 1480.0454819234.

The spelling of 3242090880 in words is "three billion, two hundred forty-two million, ninety thousand, eight hundred eighty".