3331509705216 has 1440 divisors, whose sum is σ = 12941795243520. Its totient is φ = 813547929600.

The previous prime is 3331509705211. The next prime is 3331509705239. The reversal of 3331509705216 is 6125079051333.

3331509705216 is a `hidden beast` number, since 3 + 3 + 3 + 1 + 50 + 9 + 70 + 521 + 6 = 666.

It is a super-2 number, since 2×3331509705216² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3331509705211) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10712249701 + ... + 10712250011.

It is an arithmetic number, because the mean of its divisors is an integer number (8987357808).

Almost surely, 2^{3331509705216} is an apocalyptic number.

3331509705216 is a gapful number since it is divisible by the number (36) 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 3331509705216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6470897621760).

3331509705216 is an abundant number, since it is smaller than the sum of its proper divisors (9610285538304).

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

3331509705216 is a wasteful number, since it uses less digits than its factorization.

3331509705216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The spelling of 3331509705216 in words is "three trillion, three hundred thirty-one billion, five hundred nine million, seven hundred five thousand, two hundred sixteen".