3313870560 has 1152 divisors, whose sum is σ = 16114775040. Its totient is φ = 602173440.

The previous prime is 3313870529. The next prime is 3313870561. The reversal of 3313870560 is 650783133.

3313870560 is a `hidden beast` number, since 3 + 3 + 13 + 87 + 0 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3313870561) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 174414231 + ... + 174414249.

It is an arithmetic number, because the mean of its divisors is an integer number (13988520).

Almost surely, 2^3313870560 is an apocalyptic number.

3313870560 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 3313870560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8057387520).

3313870560 is an abundant number, since it is smaller than the sum of its proper divisors (12800904480).

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

3313870560 is a wasteful number, since it uses less digits than its factorization.

3313870560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3313870560 is about 57566.2275991748. The cubic root of 3313870560 is about 1490.8885530854. Note that the first 3 decimals are identical.

The spelling of 3313870560 in words is "three billion, three hundred thirteen million, eight hundred seventy thousand, five hundred sixty".