3958329960000 has 840 divisors, whose sum is σ = 15359753649240. Its totient is φ = 968527872000.

The previous prime is 3958329959999. The next prime is 3958329960041. The reversal of 3958329960000 is 699238593.

3958329960000 is a `hidden beast` number, since 3 + 9 + 5 + 8 + 3 + 29 + 9 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 3704023573056 + 254306386944 = 1924584^2 + 504288^2 .

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 809637556 + ... + 809642444.

It is an arithmetic number, because the mean of its divisors is an integer number (18285421011).

Almost surely, 2^{3958329960000} is an apocalyptic number.

3958329960000 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 3958329960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7679876824620).

3958329960000 is an abundant number, since it is smaller than the sum of its proper divisors (11401423689240).

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

3958329960000 is a wasteful number, since it uses less digits than its factorization.

3958329960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5113 (or 5085 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 3958329960000 in words is "three trillion, nine hundred fifty-eight billion, three hundred twenty-nine million, nine hundred sixty thousand".