3311196725760 has 1280 divisors, whose sum is σ = 13913983733760. Its totient is φ = 651602165760.

The previous prime is 3311196725747. The next prime is 3311196725783. The reversal of 3311196725760 is 675276911133.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1280).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 908918499 + ... + 908922141.

It is an arithmetic number, because the mean of its divisors is an integer number (10870299792).

Almost surely, 2^{3311196725760} is an apocalyptic number.

3311196725760 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 3311196725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6956991866880).

3311196725760 is an abundant number, since it is smaller than the sum of its proper divisors (10602787008000).

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

3311196725760 is a wasteful number, since it uses less digits than its factorization.

3311196725760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3769 (or 3753 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 51.

The spelling of 3311196725760 in words is "three trillion, three hundred eleven billion, one hundred ninety-six million, seven hundred twenty-five thousand, seven hundred sixty".