3945964464 has 160 divisors (see below), whose sum is σ = 12380874240. Its totient is φ = 1195907328.

The previous prime is 3945964453. The next prime is 3945964471. The reversal of 3945964464 is 4644695493.

3945964464 is a `hidden beast` number, since 3 + 9 + 4 + 596 + 4 + 46 + 4 = 666.

3945964464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3945964464.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371029 + ... + 381515.

It is an arithmetic number, because the mean of its divisors is an integer number (77380464).

Almost surely, 2^3945964464 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 3945964464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6190437120).

3945964464 is an abundant number, since it is smaller than the sum of its proper divisors (8434909776).

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

3945964464 is a wasteful number, since it uses less digits than its factorization.

3945964464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10584 (or 10572 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 54.

The square root of 3945964464 is about 62816.9122450316. The cubic root of 3945964464 is about 1580.2206154580.

The spelling of 3945964464 in words is "three billion, nine hundred forty-five million, nine hundred sixty-four thousand, four hundred sixty-four".