3956446400 has 168 divisors, whose sum is σ = 9981712320. Its totient is φ = 1543127040.

The previous prime is 3956446369. The next prime is 3956446421. The reversal of 3956446400 is 46446593.

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, 14283062 + ... + 14283338.

Almost surely, 2^3956446400 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 3956446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4990856160).

3956446400 is an abundant number, since it is smaller than the sum of its proper divisors (6025265920).

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

3956446400 is a wasteful number, since it uses less digits than its factorization.

3956446400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 41.

The square root of 3956446400 is about 62900.2893475062. The cubic root of 3956446400 is about 1581.6185944667.

The spelling of 3956446400 in words is "three billion, nine hundred fifty-six million, four hundred forty-six thousand, four hundred".