349360609728 has 448 divisors, whose sum is σ = 1097209774080. Its totient is φ = 97135718400.

The previous prime is 349360609723. The next prime is 349360609739. The reversal of 349360609728 is 827906063943.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349360609723) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104378551 + ... + 104381897.

It is an arithmetic number, because the mean of its divisors is an integer number (2449128960).

Almost surely, 2^349360609728 is an apocalyptic number.

349360609728 is a gapful number since it is divisible by the number (38) 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 349360609728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548604887040).

349360609728 is an abundant number, since it is smaller than the sum of its proper divisors (747849164352).

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

349360609728 is a wasteful number, since it uses less digits than its factorization.

349360609728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3496 (or 3486 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 57.

The spelling of 349360609728 in words is "three hundred forty-nine billion, three hundred sixty million, six hundred nine thousand, seven hundred twenty-eight".