3119488968960 has 576 divisors, whose sum is σ = 13624448463360. Its totient is φ = 658177228800.

The previous prime is 3119488968931. The next prime is 3119488968971. The reversal of 3119488968960 is 698698849113.

3119488968960 is a `hidden beast` number, since 3 + 1 + 1 + 9 + 488 + 9 + 6 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3119488968960² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2649010 + ... + 3640910.

It is an arithmetic number, because the mean of its divisors is an integer number (23653556360).

Almost surely, 2^{3119488968960} is an apocalyptic number.

3119488968960 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 3119488968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6812224231680).

3119488968960 is an abundant number, since it is smaller than the sum of its proper divisors (10504959494400).

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

3119488968960 is a wasteful number, since it uses less digits than its factorization.

3119488968960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991951 (or 991931 counting only the distinct ones).

The product of its (nonzero) digits is 161243136, while the sum is 72.

The spelling of 3119488968960 in words is "three trillion, one hundred nineteen billion, four hundred eighty-eight million, nine hundred sixty-eight thousand, nine hundred sixty".