349873167836640 has 1728 divisors, whose sum is σ = 1379158398213120. Its totient is φ = 74308093009920.

The previous prime is 349873167836611. The next prime is 349873167836641. The reversal of 349873167836640 is 46638761378943.

It is a super-2 number, since 2×349873167836640² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349873167836641) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 239803404231 + ... + 239803405689.

It is an arithmetic number, because the mean of its divisors is an integer number (798124073040).

Almost surely, 2^{349873167836640} is an apocalyptic number.

349873167836640 is a gapful number since it is divisible by the number (30) 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 349873167836640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689579199106560).

349873167836640 is an abundant number, since it is smaller than the sum of its proper divisors (1029285230376480).

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

349873167836640 is a wasteful number, since it uses less digits than its factorization.

349873167836640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2053 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 2633637888, while the sum is 75.

The spelling of 349873167836640 in words is "three hundred forty-nine trillion, eight hundred seventy-three billion, one hundred sixty-seven million, eight hundred thirty-six thousand, six hundred forty".