3519642199164 has 288 divisors, whose sum is σ = 10393730415936. Its totient is φ = 918774743040.

The previous prime is 3519642199159. The next prime is 3519642199189. The reversal of 3519642199164 is 4619912469153.

It is a super-3 number, since 3×3519642199164³ (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3519642199098 and 3519642199107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 369666724 + ... + 369676244.

It is an arithmetic number, because the mean of its divisors is an integer number (36089341722).

Almost surely, 2^{3519642199164} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3519642199164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5196865207968).

3519642199164 is an abundant number, since it is smaller than the sum of its proper divisors (6874088216772).

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

3519642199164 is a wasteful number, since it uses less digits than its factorization.

3519642199164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10045 (or 10036 counting only the distinct ones).

The product of its digits is 12597120, while the sum is 60.

The spelling of 3519642199164 in words is "three trillion, five hundred nineteen billion, six hundred forty-two million, one hundred ninety-nine thousand, one hundred sixty-four".