3914449968 has 160 divisors (see below), whose sum is σ = 11919237120. Its totient is φ = 1091358720.

The previous prime is 3914449967. The next prime is 3914450021. The reversal of 3914449968 is 8699444193.

It is not an unprimeable number, because it can be changed into a prime (3914449967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2628168 + ... + 2629656.

It is an arithmetic number, because the mean of its divisors is an integer number (74495232).

Almost surely, 2^3914449968 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 3914449968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5959618560).

3914449968 is an abundant number, since it is smaller than the sum of its proper divisors (8004787152).

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

3914449968 is a wasteful number, since it uses less digits than its factorization.

3914449968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907 (or 1901 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 57.

The square root of 3914449968 is about 62565.5653534754. The cubic root of 3914449968 is about 1576.0025488033.

The spelling of 3914449968 in words is "three billion, nine hundred fourteen million, four hundred forty-nine thousand, nine hundred sixty-eight".