3964361856 has 384 divisors, whose sum is σ = 13902436800. Its totient is φ = 989356032.

The previous prime is 3964361831. The next prime is 3964361881. The reversal of 3964361856 is 6581634693.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3964361831) and next prime (3964361881).

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 3964361799 and 3964361808.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4647126 + ... + 4647978.

Almost surely, 2^3964361856 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 3964361856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6951218400).

3964361856 is an abundant number, since it is smaller than the sum of its proper divisors (9938074944).

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

3964361856 is a wasteful number, since it uses less digits than its factorization.

3964361856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 897 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 51.

The square root of 3964361856 is about 62963.1785728770. The cubic root of 3964361856 is about 1582.6726457994.

The spelling of 3964361856 in words is "three billion, nine hundred sixty-four million, three hundred sixty-one thousand, eight hundred fifty-six".