3959082012672 has 520 divisors, whose sum is σ = 12590971068456. Its totient is φ = 1235289636864.

The previous prime is 3959082012661. The next prime is 3959082012833. The reversal of 3959082012672 is 2762102809593.

3959082012672 is a `hidden beast` number, since 3 + 9 + 590 + 8 + 20 + 1 + 26 + 7 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35259826176 + 3923822186496 = 187776^2 + 1980864^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1088555238 + ... + 1088558874.

Almost surely, 2^{3959082012672} is an apocalyptic number.

3959082012672 is a gapful number since it is divisible by the number (32) 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 3959082012672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6295485534228).

3959082012672 is an abundant number, since it is smaller than the sum of its proper divisors (8631889055784).

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

3959082012672 is a wasteful number, since it uses less digits than its factorization.

3959082012672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3883 (or 3852 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 3959082012672 in words is "three trillion, nine hundred fifty-nine billion, eighty-two million, twelve thousand, six hundred seventy-two".