3988260832192 has 336 divisors, whose sum is σ = 10302591129600. Its totient is φ = 1516693248000.

The previous prime is 3988260832181. The next prime is 3988260832253. The reversal of 3988260832192 is 2912380628893.

It is a self number, because there is not a number n which added to its sum of digits gives 3988260832192.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190824559 + ... + 190845457.

It is an arithmetic number, because the mean of its divisors is an integer number (30662473600).

Almost surely, 2^{3988260832192} is an apocalyptic number.

3988260832192 is a gapful number since it is divisible by the number (32) 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 3988260832192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5151295564800).

3988260832192 is an abundant number, since it is smaller than the sum of its proper divisors (6314330297408).

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

3988260832192 is a wasteful number, since it uses less digits than its factorization.

3988260832192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21120 (or 21103 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 61.

The spelling of 3988260832192 in words is "three trillion, nine hundred eighty-eight billion, two hundred sixty million, eight hundred thirty-two thousand, one hundred ninety-two".