349029991296 has 768 divisors, whose sum is σ = 1215632670720. Its totient is φ = 94058496000.

The previous prime is 349029991283. The next prime is 349029991313. The reversal of 349029991296 is 692199920943.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2311456821 + ... + 2311456971.

It is an arithmetic number, because the mean of its divisors is an integer number (1582855040).

Almost surely, 2^349029991296 is an apocalyptic number.

349029991296 is a gapful number since it is divisible by the number (36) 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 349029991296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607816335360).

349029991296 is an abundant number, since it is smaller than the sum of its proper divisors (866602679424).

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

349029991296 is a wasteful number, since it uses less digits than its factorization.

349029991296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 17006112, while the sum is 63.

The spelling of 349029991296 in words is "three hundred forty-nine billion, twenty-nine million, nine hundred ninety-one thousand, two hundred ninety-six".