3316480000 has 120 divisors (see below), whose sum is σ = 8289721440. Its totient is φ = 1326080000.

The previous prime is 3316479979. The next prime is 3316480021. The reversal of 3316480000 is 846133.

It is an interprime number because it is at equal distance from previous prime (3316479979) and next prime (3316480021).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 1278705 + ... + 1281295.

It is an arithmetic number, because the mean of its divisors is an integer number (69081012).

Almost surely, 2^3316480000 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 3316480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4144860720).

3316480000 is an abundant number, since it is smaller than the sum of its proper divisors (4973241440).

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

3316480000 is an frugal number, since it uses more digits than its factorization.

3316480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2633 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 3316480000 is about 57588.8878170086. The cubic root of 3316480000 is about 1491.2797737107.

The spelling of 3316480000 in words is "three billion, three hundred sixteen million, four hundred eighty thousand".