3258790080 has 504 divisors, whose sum is σ = 13141738512. Its totient is φ = 678150144.

The previous prime is 3258790039. The next prime is 3258790081. The reversal of 3258790080 is 800978523.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (3258790081) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44640924 + ... + 44640996.

It is an arithmetic number, because the mean of its divisors is an integer number (26074878).

Almost surely, 2^3258790080 is an apocalyptic number.

3258790080 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 3258790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6570869256).

3258790080 is an abundant number, since it is smaller than the sum of its proper divisors (9882948432).

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

3258790080 is a wasteful number, since it uses less digits than its factorization.

3258790080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 3258790080 is about 57085.8132989274. The cubic root of 3258790080 is about 1482.5822462989.

The spelling of 3258790080 in words is "three billion, two hundred fifty-eight million, seven hundred ninety thousand, eighty".