3323139240960 has 2112 divisors, whose sum is σ = 15621619253760. Its totient is φ = 631913840640.

The previous prime is 3323139240959. The next prime is 3323139240991. The reversal of 3323139240960 is 690429313233.

3323139240960 is a `hidden beast` number, since 3 + 3 + 2 + 313 + 9 + 240 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-2 number, since 2×3323139240960² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2231791896 + ... + 2231793384.

Almost surely, 2^{3323139240960} is an apocalyptic number.

3323139240960 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 3323139240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7810809626880).

3323139240960 is an abundant number, since it is smaller than the sum of its proper divisors (12298480012800).

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

3323139240960 is a wasteful number, since it uses less digits than its factorization.

3323139240960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 45.

The spelling of 3323139240960 in words is "three trillion, three hundred twenty-three billion, one hundred thirty-nine million, two hundred forty thousand, nine hundred sixty".