3956227200 has 144 divisors (see below), whose sum is σ = 14116828050. Its totient is φ = 1054986240.

The previous prime is 3956227151. The next prime is 3956227237. The reversal of 3956227200 is 27226593.

3956227200 is a `hidden beast` number, since 3 + 9 + 5 + 622 + 7 + 20 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2427729984 + 1528497216 = 49272^2 + 39096^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 39885 + ... + 97484.

Almost surely, 2^3956227200 is an apocalyptic number.

3956227200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3956227200 is an abundant number, since it is smaller than the sum of its proper divisors (10160600850).

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

3956227200 is a wasteful number, since it uses less digits than its factorization.

3956227200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137399 (or 137379 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3956227200 is about 62898.5468830561. The cubic root of 3956227200 is about 1581.5893849890.

The spelling of 3956227200 in words is "three billion, nine hundred fifty-six million, two hundred twenty-seven thousand, two hundred".