3956280000 has 140 divisors (see below), whose sum is σ = 13080781560. Its totient is φ = 1054976000.

The previous prime is 3956279981. The next prime is 3956280011. The reversal of 3956280000 is 826593.

It is a happy number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 103516 + ... + 136484.

It is an arithmetic number, because the mean of its divisors is an integer number (93434154).

Almost surely, 2^3956280000 is an apocalyptic number.

3956280000 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 3956280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6540390780).

3956280000 is an abundant number, since it is smaller than the sum of its proper divisors (9124501560).

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

3956280000 is an equidigital number, since it uses as much as digits as its factorization.

3956280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33004 (or 32979 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 3956280000 is about 62898.9666051836. The cubic root of 3956280000 is about 1581.5964209472.

The spelling of 3956280000 in words is "three billion, nine hundred fifty-six million, two hundred eighty thousand".