3311332080 has 480 divisors, whose sum is σ = 13146872832. Its totient is φ = 671784960.

The previous prime is 3311332069. The next prime is 3311332081. The reversal of 3311332080 is 802331133.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3311332080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3311332081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46638445 + ... + 46638515.

Almost surely, 2^3311332080 is an apocalyptic number.

3311332080 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 3311332080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6573436416).

3311332080 is an abundant number, since it is smaller than the sum of its proper divisors (9835540752).

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

3311332080 is a wasteful number, since it uses less digits than its factorization.

3311332080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 3311332080 is about 57544.1750310142. The cubic root of 3311332080 is about 1490.5077740266.

The spelling of 3311332080 in words is "three billion, three hundred eleven million, three hundred thirty-two thousand, eighty".