349329571061760 has 336 divisors, whose sum is σ = 1211017267998720. Its totient is φ = 93148244213760.

The previous prime is 349329571061759. The next prime is 349329571061803. The reversal of 349329571061760 is 67160175923943.

It is a happy number.

349329571061760 is a `hidden beast` number, since 3 + 4 + 9 + 3 + 2 + 9 + 5 + 7 + 1 + 0 + 617 + 6 + 0 = 666.

It is a super-2 number, since 2×349329571061760² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8493076395 + ... + 8493117525.

It is an arithmetic number, because the mean of its divisors is an integer number (3604218059520).

Almost surely, 2^{349329571061760} is an apocalyptic number.

349329571061760 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 349329571061760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605508633999360).

349329571061760 is an abundant number, since it is smaller than the sum of its proper divisors (861687696936960).

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

349329571061760 is a wasteful number, since it uses less digits than its factorization.

349329571061760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64207 (or 64180 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 349329571061760 in words is "three hundred forty-nine trillion, three hundred twenty-nine billion, five hundred seventy-one million, sixty-one thousand, seven hundred sixty".