3321274880 has 480 divisors, whose sum is σ = 10579947840. Its totient is φ = 987463680.

The previous prime is 3321274871. The next prime is 3321274937. The reversal of 3321274880 is 884721233.

It is a super-2 number, since 2×3321274880² = 22061733657038028800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40015319 + ... + 40015401.

It is an arithmetic number, because the mean of its divisors is an integer number (22041558).

Almost surely, 2^3321274880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3321274880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5289973920).

3321274880 is an abundant number, since it is smaller than the sum of its proper divisors (7258672960).

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

3321274880 is a wasteful number, since it uses less digits than its factorization.

3321274880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 3321274880 is about 57630.5030344175. The cubic root of 3321274880 is about 1491.9981120615.

The spelling of 3321274880 in words is "three billion, three hundred twenty-one million, two hundred seventy-four thousand, eight hundred eighty".