3958089338880 has 2080 divisors, whose sum is σ = 16184446185600. Its totient is φ = 919332716544.

The previous prime is 3958089338851. The next prime is 3958089338881. The reversal of 3958089338880 is 888339808593.

3958089338880 is a `hidden beast` number, since 3 + 9 + 5 + 80 + 8 + 93 + 388 + 80 = 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 = 3958089338799 and 3958089338808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3958089338881) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 44472913876 + ... + 44472913964.

Almost surely, 2^{3958089338880} is an apocalyptic number.

3958089338880 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 3958089338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8092223092800).

3958089338880 is an abundant number, since it is smaller than the sum of its proper divisors (12226356846720).

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

3958089338880 is a wasteful number, since it uses less digits than its factorization.

3958089338880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 3958089338880 in words is "three trillion, nine hundred fifty-eight billion, eighty-nine million, three hundred thirty-eight thousand, eight hundred eighty".