3303115522560 has 960 divisors, whose sum is σ = 13334917939200. Its totient is φ = 740038311936.

The previous prime is 3303115522541. The next prime is 3303115522601. The reversal of 3303115522560 is 652255113033.

3303115522560 is a `hidden beast` number, since 3 + 3 + 0 + 31 + 15 + 52 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2582576001 + ... + 2582577279.

It is an arithmetic number, because the mean of its divisors is an integer number (13890539520).

Almost surely, 2^{3303115522560} is an apocalyptic number.

3303115522560 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 3303115522560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6667458969600).

3303115522560 is an abundant number, since it is smaller than the sum of its proper divisors (10031802416640).

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

3303115522560 is a wasteful number, since it uses less digits than its factorization.

3303115522560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 3303115522560 in words is "three trillion, three hundred three billion, one hundred fifteen million, five hundred twenty-two thousand, five hundred sixty".