3119090032968 has 384 divisors, whose sum is σ = 9842902272000. Its totient is φ = 816383715840.

The previous prime is 3119090032963. The next prime is 3119090032969. The reversal of 3119090032968 is 8692300909113.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3119090032968.

It is not an unprimeable number, because it can be changed into a prime (3119090032963) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1209417103 + ... + 1209419681.

It is an arithmetic number, because the mean of its divisors is an integer number (25632558000).

Almost surely, 2^{3119090032968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3119090032968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4921451136000).

3119090032968 is an abundant number, since it is smaller than the sum of its proper divisors (6723812239032).

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

3119090032968 is a wasteful number, since it uses less digits than its factorization.

3119090032968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3185 (or 3174 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 51.

The spelling of 3119090032968 in words is "three trillion, one hundred nineteen billion, ninety million, thirty-two thousand, nine hundred sixty-eight".