3312046080 has 624 divisors, whose sum is σ = 13984199424. Its totient is φ = 707788800.

The previous prime is 3312046079. The next prime is 3312046099. The reversal of 3312046080 is 806402133.

It is a happy number.

3312046080 is a `hidden beast` number, since 3 + 3 + 120 + 460 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21934005 + ... + 21934155.

It is an arithmetic number, because the mean of its divisors is an integer number (22410576).

Almost surely, 2^3312046080 is an apocalyptic number.

3312046080 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 3312046080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6992099712).

3312046080 is an abundant number, since it is smaller than the sum of its proper divisors (10672153344).

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

3312046080 is a wasteful number, since it uses less digits than its factorization.

3312046080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3312046080 is about 57550.3786260351. The cubic root of 3312046080 is about 1490.6148956767.

The spelling of 3312046080 in words is "three billion, three hundred twelve million, forty-six thousand, eighty".