3934579968 has 144 divisors (see below), whose sum is σ = 12693240000. Its totient is φ = 1192273920.

The previous prime is 3934579951. The next prime is 3934579969. The reversal of 3934579968 is 8699754393.

3934579968 is a `hidden beast` number, since 3 + 93 + 457 + 9 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3934579969) 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 15 ways as a sum of consecutive naturals, for example, 50158 + ... + 101906.

It is an arithmetic number, because the mean of its divisors is an integer number (88147500).

Almost surely, 2^3934579968 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 3934579968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6346620000).

3934579968 is an abundant number, since it is smaller than the sum of its proper divisors (8758660032).

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

3934579968 is a wasteful number, since it uses less digits than its factorization.

3934579968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51785 (or 51765 counting only the distinct ones).

The product of its digits is 44089920, while the sum is 63.

The square root of 3934579968 is about 62726.2303028008. The cubic root of 3934579968 is about 1578.6994542638.

The spelling of 3934579968 in words is "three billion, nine hundred thirty-four million, five hundred seventy-nine thousand, nine hundred sixty-eight".