349758750264 has 192 divisors, whose sum is σ = 1109746041600. Its totient is φ = 89909360640.

The previous prime is 349758750181. The next prime is 349758750277. The reversal of 349758750264 is 462057857943.

It is a junction number, because it is equal to n+sod(n) for n = 349758750198 and 349758750207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1883127 + ... + 2060505.

It is an arithmetic number, because the mean of its divisors is an integer number (5779927300).

Almost surely, 2^349758750264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349758750264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554873020800).

349758750264 is an abundant number, since it is smaller than the sum of its proper divisors (759987291336).

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

349758750264 is a wasteful number, since it uses less digits than its factorization.

349758750264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177514 (or 177499 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 60.

The spelling of 349758750264 in words is "three hundred forty-nine billion, seven hundred fifty-eight million, seven hundred fifty thousand, two hundred sixty-four".