3371330880 has 168 divisors, whose sum is σ = 11619064392. Its totient is φ = 897232896.

The previous prime is 3371330867. The next prime is 3371330891. The reversal of 3371330880 is 880331733.

3371330880 is a `hidden beast` number, since 337 + 13 + 308 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 718668864 + 2652662016 = 26808^2 + 51504^2 .

It is a super-2 number, since 2×3371330880² = 22731743804883148800, 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 23 ways as a sum of consecutive naturals, for example, 2110242 + ... + 2111838.

Almost surely, 2^3371330880 is an apocalyptic number.

3371330880 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 3371330880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5809532196).

3371330880 is an abundant number, since it is smaller than the sum of its proper divisors (8247733512).

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

3371330880 is a wasteful number, since it uses less digits than its factorization.

3371330880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2353 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3371330880 is about 58063.1628487460. The cubic root of 3371330880 is about 1499.4562295663.

The spelling of 3371330880 in words is "three billion, three hundred seventy-one million, three hundred thirty thousand, eight hundred eighty".