3798617889312 has 336 divisors, whose sum is σ = 11989905909912. Its totient is φ = 1179911577600.

The previous prime is 3798617889229. The next prime is 3798617889317. The reversal of 3798617889312 is 2139887168973.

3798617889312 is a `hidden beast` number, since 379 + 8 + 6 + 178 + 89 + 3 + 1 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3797213438736 + 1404450576 = 1948644^2 + 37476^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3798617889317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 40006758 + ... + 40101594.

Almost surely, 2^{3798617889312} is an apocalyptic number.

3798617889312 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 3798617889312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5994952954956).

3798617889312 is an abundant number, since it is smaller than the sum of its proper divisors (8191288020600).

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

3798617889312 is a wasteful number, since it uses less digits than its factorization.

3798617889312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94983 (or 94960 counting only the distinct ones).

The product of its digits is 219469824, while the sum is 72.

The spelling of 3798617889312 in words is "three trillion, seven hundred ninety-eight billion, six hundred seventeen million, eight hundred eighty-nine thousand, three hundred twelve".