3315021240960 has 1344 divisors, whose sum is σ = 14068166381640. Its totient is φ = 741658705920.

The previous prime is 3315021240959. The next prime is 3315021240997. The reversal of 3315021240960 is 690421205133.

3315021240960 is a `hidden beast` number, since 3 + 31 + 5 + 0 + 212 + 409 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 907782106176 + 2407239134784 = 952776^2 + 1551528^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 733896622 + ... + 733901138.

Almost surely, 2^{3315021240960} is an apocalyptic number.

3315021240960 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 3315021240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7034083190820).

3315021240960 is an abundant number, since it is smaller than the sum of its proper divisors (10753145140680).

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

3315021240960 is a wasteful number, since it uses less digits than its factorization.

3315021240960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4589 (or 4551 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 3315021240960 in words is "three trillion, three hundred fifteen billion, twenty-one million, two hundred forty thousand, nine hundred sixty".