3947856000 has 256 divisors, whose sum is σ = 14278792320. Its totient is φ = 956928000.

The previous prime is 3947855981. The next prime is 3947856001. The reversal of 3947856000 is 6587493.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3947856001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 524262 + ... + 531738.

Almost surely, 2^3947856000 is an apocalyptic number.

3947856000 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 3947856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7139396160).

3947856000 is an abundant number, since it is smaller than the sum of its proper divisors (10330936320).

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

3947856000 is a wasteful number, since it uses less digits than its factorization.

3947856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7520 (or 7498 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 3947856000 is about 62831.9663865456. The cubic root of 3947856000 is about 1580.4730731040.

The spelling of 3947856000 in words is "three billion, nine hundred forty-seven million, eight hundred fifty-six thousand".