3320580096 has 240 divisors, whose sum is σ = 10205215020. Its totient is φ = 1074954240.

The previous prime is 3320580089. The next prime is 3320580103. The reversal of 3320580096 is 6900850233.

It is an interprime number because it is at equal distance from previous prime (3320580089) and next prime (3320580103).

It can be written as a sum of positive squares in 2 ways, for example, as 3218973696 + 101606400 = 56736^2 + 10080^2 .

It is a super-2 number, since 2×3320580096² = 22052504347902738432, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3320580096.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6137586 + ... + 6138126.

Almost surely, 2^3320580096 is an apocalyptic number.

3320580096 is a gapful number since it is divisible by the number (36) 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 3320580096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5102607510).

3320580096 is an abundant number, since it is smaller than the sum of its proper divisors (6884634924).

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

3320580096 is an equidigital number, since it uses as much as digits as its factorization.

3320580096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3320580096 is about 57624.4748002097. The cubic root of 3320580096 is about 1491.8940668031.

The spelling of 3320580096 in words is "three billion, three hundred twenty million, five hundred eighty thousand, ninety-six".