349294010508 has 96 divisors (see below), whose sum is σ = 937048089600. Its totient is φ = 112387157568.

The previous prime is 349294010501. The next prime is 349294010519. The reversal of 349294010508 is 805010492943.

349294010508 is a `hidden beast` number, since 3 + 4 + 92 + 9 + 40 + 10 + 508 = 666.

It is not an unprimeable number, because it can be changed into a prime (349294010501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14228941 + ... + 14253467.

It is an arithmetic number, because the mean of its divisors is an integer number (9760917600).

Almost surely, 2^349294010508 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 349294010508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468524044800).

349294010508 is an abundant number, since it is smaller than the sum of its proper divisors (587754079092).

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

349294010508 is a wasteful number, since it uses less digits than its factorization.

349294010508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29116 (or 29108 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 349294010508 in words is "three hundred forty-nine billion, two hundred ninety-four million, ten thousand, five hundred eight".