3315375360 has 1008 divisors, whose sum is σ = 14476916160. Its totient is φ = 716636160.

The previous prime is 3315375353. The next prime is 3315375361. The reversal of 3315375360 is 635735133.

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 (3315375361) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 174493431 + ... + 174493449.

It is an arithmetic number, because the mean of its divisors is an integer number (14362020).

Almost surely, 2^3315375360 is an apocalyptic number.

3315375360 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 3315375360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7238458080).

3315375360 is an abundant number, since it is smaller than the sum of its proper divisors (11161540800).

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

3315375360 is a wasteful number, since it uses less digits than its factorization.

3315375360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 36.

The square root of 3315375360 is about 57579.2962791314. The cubic root of 3315375360 is about 1491.1141854747.

The spelling of 3315375360 in words is "three billion, three hundred fifteen million, three hundred seventy-five thousand, three hundred sixty".