349466605140 has 192 divisors, whose sum is σ = 1003118296320. Its totient is φ = 90876764160.

The previous prime is 349466605121. The next prime is 349466605153. The reversal of 349466605140 is 41506664943.

It is a self number, because there is not a number n which added to its sum of digits gives 349466605140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 346348956 + ... + 346349964.

It is an arithmetic number, because the mean of its divisors is an integer number (5224574460).

Almost surely, 2^349466605140 is an apocalyptic number.

349466605140 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 349466605140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501559148160).

349466605140 is an abundant number, since it is smaller than the sum of its proper divisors (653651691180).

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

349466605140 is a wasteful number, since it uses less digits than its factorization.

349466605140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 349466605140 in words is "three hundred forty-nine billion, four hundred sixty-six million, six hundred five thousand, one hundred forty".