3959144076 has 192 divisors, whose sum is σ = 10667704320. Its totient is φ = 1135088640.

The previous prime is 3959144071. The next prime is 3959144081. The reversal of 3959144076 is 6704419593.

It is an interprime number because it is at equal distance from previous prime (3959144071) and next prime (3959144081).

It is not an unprimeable number, because it can be changed into a prime (3959144071) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18763611 + ... + 18763821.

It is an arithmetic number, because the mean of its divisors is an integer number (55560960).

Almost surely, 2^3959144076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3959144076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5333852160).

3959144076 is an abundant number, since it is smaller than the sum of its proper divisors (6708560244).

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

3959144076 is a wasteful number, since it uses less digits than its factorization.

3959144076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The square root of 3959144076 is about 62921.7297600757. The cubic root of 3959144076 is about 1581.9779847478.

The spelling of 3959144076 in words is "three billion, nine hundred fifty-nine million, one hundred forty-four thousand, seventy-six".