3149113968 has 360 divisors, whose sum is σ = 12048197616. Its totient is φ = 754790400.

The previous prime is 3149113963. The next prime is 3149113991. The reversal of 3149113968 is 8693119413.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3149113963) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1007448 + ... + 1010568.

Almost surely, 2^3149113968 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 3149113968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6024098808).

3149113968 is an abundant number, since it is smaller than the sum of its proper divisors (8899083648).

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

3149113968 is a wasteful number, since it uses less digits than its factorization.

3149113968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3173 (or 3157 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 3149113968 is about 56116.9668460440. The cubic root of 3149113968 is about 1465.7597534673.

The spelling of 3149113968 in words is "three billion, one hundred forty-nine million, one hundred thirteen thousand, nine hundred sixty-eight".