3956283120 has 160 divisors (see below), whose sum is σ = 12457774080. Its totient is φ = 1038515200.

The previous prime is 3956283119. The next prime is 3956283131. The reversal of 3956283120 is 213826593.

3956283120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3956283120² = 31304352251193868800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5502121 + ... + 5502839.

It is an arithmetic number, because the mean of its divisors is an integer number (77861088).

Almost surely, 2^3956283120 is an apocalyptic number.

3956283120 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 3956283120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6228887040).

3956283120 is an abundant number, since it is smaller than the sum of its proper divisors (8501490960).

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

3956283120 is a wasteful number, since it uses less digits than its factorization.

3956283120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 3956283120 is about 62898.9914068580. The cubic root of 3956283120 is about 1581.5968367064.

The spelling of 3956283120 in words is "three billion, nine hundred fifty-six million, two hundred eighty-three thousand, one hundred twenty".