3934464768 has 216 divisors, whose sum is σ = 12936950208. Its totient is φ = 1139245056.

The previous prime is 3934464749. The next prime is 3934464773. The reversal of 3934464768 is 8674644393.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 505321 + ... + 513047.

It is an arithmetic number, because the mean of its divisors is an integer number (59893288).

Almost surely, 2^3934464768 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 3934464768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6468475104).

3934464768 is an abundant number, since it is smaller than the sum of its proper divisors (9002485440).

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

3934464768 is a wasteful number, since it uses less digits than its factorization.

3934464768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7779 (or 7762 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The square root of 3934464768 is about 62725.3120199493. The cubic root of 3934464768 is about 1578.6840466088.

The spelling of 3934464768 in words is "three billion, nine hundred thirty-four million, four hundred sixty-four thousand, seven hundred sixty-eight".