349398895137792 has 1408 divisors, whose sum is σ = 1070188945459200. Its totient is φ = 100691695632384.

The previous prime is 349398895137769. The next prime is 349398895137827. The reversal of 349398895137792 is 297731598893943.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 349398895137699 and 349398895137708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1951949134759 + ... + 1951949134937.

Almost surely, 2^{349398895137792} is an apocalyptic number.

349398895137792 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 349398895137792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535094472729600).

349398895137792 is an abundant number, since it is smaller than the sum of its proper divisors (720790050321408).

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

349398895137792 is a wasteful number, since it uses less digits than its factorization.

349398895137792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 613 counting only the distinct ones).

The product of its digits is 22221319680, while the sum is 87.

The spelling of 349398895137792 in words is "three hundred forty-nine trillion, three hundred ninety-eight billion, eight hundred ninety-five million, one hundred thirty-seven thousand, seven hundred ninety-two".