3331072080 has 320 divisors, whose sum is σ = 13208678400. Its totient is φ = 755827200.

The previous prime is 3331072067. The next prime is 3331072093. The reversal of 3331072080 is 802701333.

It is an interprime number because it is at equal distance from previous prime (3331072067) and next prime (3331072093).

It is a super-2 number, since 2×3331072080² = 22192082404311052800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 2282391 + ... + 2283849.

It is an arithmetic number, because the mean of its divisors is an integer number (41277120).

Almost surely, 2^3331072080 is an apocalyptic number.

3331072080 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 3331072080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6604339200).

3331072080 is an abundant number, since it is smaller than the sum of its proper divisors (9877606320).

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

3331072080 is a wasteful number, since it uses less digits than its factorization.

3331072080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3331072080 is about 57715.4405683609. The cubic root of 3331072080 is about 1493.4637193942.

The spelling of 3331072080 in words is "three billion, three hundred thirty-one million, seventy-two thousand, eighty".