3956726400 has 384 divisors, whose sum is σ = 14411131200. Its totient is φ = 946176000.

The previous prime is 3956726369. The next prime is 3956726429. The reversal of 3956726400 is 46276593.

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

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 47 ways as a sum of consecutive naturals, for example, 9398190 + ... + 9398610.

Almost surely, 2^3956726400 is an apocalyptic number.

3956726400 is a gapful number since it is divisible by the number (30) 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 3956726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7205565600).

3956726400 is an abundant number, since it is smaller than the sum of its proper divisors (10454404800).

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

3956726400 is a wasteful number, since it uses less digits than its factorization.

3956726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 3956726400 is about 62902.5150530565. The cubic root of 3956726400 is about 1581.6559042741.

The spelling of 3956726400 in words is "three billion, nine hundred fifty-six million, seven hundred twenty-six thousand, four hundred".