349690671360 has 432 divisors, whose sum is σ = 1222260556608. Its totient is φ = 92303769600.

The previous prime is 349690671311. The next prime is 349690671367. The reversal of 349690671360 is 63176096943.

349690671360 is a `hidden beast` number, since 3 + 496 + 90 + 6 + 7 + 1 + 3 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 349690671297 and 349690671306.

It is not an unprimeable number, because it can be changed into a prime (349690671367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 712200715 + ... + 712201205.

It is an arithmetic number, because the mean of its divisors is an integer number (2829306844).

Almost surely, 2^349690671360 is an apocalyptic number.

349690671360 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 349690671360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611130278304).

349690671360 is an abundant number, since it is smaller than the sum of its proper divisors (872569885248).

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

349690671360 is a wasteful number, since it uses less digits than its factorization.

349690671360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 349690671360 in words is "three hundred forty-nine billion, six hundred ninety million, six hundred seventy-one thousand, three hundred sixty".