3959664880248 has 1920 divisors, whose sum is σ = 15445748736000. Its totient is φ = 933478318080.

The previous prime is 3959664880169. The next prime is 3959664880271. The reversal of 3959664880248 is 8420884669593.

It is a happy number.

3959664880248 is a `hidden beast` number, since 3 + 9 + 596 + 6 + 4 + 8 + 8 + 0 + 24 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 31178463561 + ... + 31178463687.

It is an arithmetic number, because the mean of its divisors is an integer number (8044660800).

Almost surely, 2^{3959664880248} 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 3959664880248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7722874368000).

3959664880248 is an abundant number, since it is smaller than the sum of its proper divisors (11486083855752).

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

3959664880248 is a wasteful number, since it uses less digits than its factorization.

3959664880248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 716636160, while the sum is 72.

The spelling of 3959664880248 in words is "three trillion, nine hundred fifty-nine billion, six hundred sixty-four million, eight hundred eighty thousand, two hundred forty-eight".