3964064832 has 336 divisors, whose sum is σ = 14507455872. Its totient is φ = 1045094400.

The previous prime is 3964064831. The next prime is 3964064861. The reversal of 3964064832 is 2384604693.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3964064831) 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 47 ways as a sum of consecutive naturals, for example, 1413832 + ... + 1416632.

It is an arithmetic number, because the mean of its divisors is an integer number (43176952).

Almost surely, 2^3964064832 is an apocalyptic number.

3964064832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3964064832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7253727936).

3964064832 is an abundant number, since it is smaller than the sum of its proper divisors (10543391040).

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

3964064832 is a wasteful number, since it uses less digits than its factorization.

3964064832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2848 (or 2826 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 3964064832 is about 62960.8198167718. The cubic root of 3964064832 is about 1582.6331183363.

The spelling of 3964064832 in words is "three billion, nine hundred sixty-four million, sixty-four thousand, eight hundred thirty-two".