3921964704 has 144 divisors (see below), whose sum is σ = 13306809600. Its totient is φ = 1120549248.

The previous prime is 3921964663. The next prime is 3921964747. The reversal of 3921964704 is 4074691293.

It is a happy number.

3921964704 is a `hidden beast` number, since 3 + 92 + 1 + 96 + 470 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3921964704.

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, 3984 + ... + 88655.

It is an arithmetic number, because the mean of its divisors is an integer number (92408400).

Almost surely, 2^3921964704 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 3921964704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6653404800).

3921964704 is an abundant number, since it is smaller than the sum of its proper divisors (9384844896).

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

3921964704 is a wasteful number, since it uses less digits than its factorization.

3921964704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92672 (or 92651 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 3921964704 is about 62625.5914463089. The cubic root of 3921964704 is about 1577.0104104952.

It can be divided in two parts, 392196 and 4704, that added together give a square (396900 = 630²).

The spelling of 3921964704 in words is "three billion, nine hundred twenty-one million, nine hundred sixty-four thousand, seven hundred four".