3958963706880 has 704 divisors, whose sum is σ = 17316291578880. Its totient is φ = 835295182848.

The previous prime is 3958963706827. The next prime is 3958963706903. The reversal of 3958963706880 is 886073698593.

3958963706880 is a `hidden beast` number, since 3 + 9 + 589 + 6 + 37 + 0 + 6 + 8 + 8 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3958963706799 and 3958963706808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12422487 + ... + 12737193.

Almost surely, 2^{3958963706880} is an apocalyptic number.

3958963706880 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 3958963706880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8658145789440).

3958963706880 is an abundant number, since it is smaller than the sum of its proper divisors (13357327872000).

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

3958963706880 is a wasteful number, since it uses less digits than its factorization.

3958963706880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314761 (or 314737 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 3958963706880 in words is "three trillion, nine hundred fifty-eight billion, nine hundred sixty-three million, seven hundred six thousand, eight hundred eighty".