3958021836288 has 800 divisors, whose sum is σ = 13397010765600. Its totient is φ = 1153755353088.

The previous prime is 3958021836233. The next prime is 3958021836323. The reversal of 3958021836288 is 8826381208593.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3958021836288 is a `hidden beast` number, since 3 + 9 + 58 + 0 + 218 + 362 + 8 + 8 = 666.

It is a super-3 number, since 3×3958021836288³ (a number of 39 digits) contains 333 as substring.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 3958021836288 = 1976³ + 15808³ = 8892³ + 14820³.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 208316938743 + ... + 208316938761.

It is an arithmetic number, because the mean of its divisors is an integer number (16746263457).

Almost surely, 2^{3958021836288} is an apocalyptic number.

3958021836288 is a gapful number since it is divisible by the number (38) 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 3958021836288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6698505382800).

3958021836288 is an abundant number, since it is smaller than the sum of its proper divisors (9438988929312).

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

3958021836288 is an frugal number, since it uses more digits than its factorization.

3958021836288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 3958021836288 in words is "three trillion, nine hundred fifty-eight billion, twenty-one million, eight hundred thirty-six thousand, two hundred eighty-eight".