349600445760 has 112 divisors (see below), whose sum is σ = 1113181269696. Its totient is φ = 92958031872.

The previous prime is 349600445749. The next prime is 349600445801. The reversal of 349600445760 is 67544006943.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191617 + ... + 857856.

Almost surely, 2^349600445760 is an apocalyptic number.

349600445760 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 349600445760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556590634848).

349600445760 is an abundant number, since it is smaller than the sum of its proper divisors (763580823936).

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

349600445760 is a wasteful number, since it uses less digits than its factorization.

349600445760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049840 (or 1049830 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 349600445760 in words is "three hundred forty-nine billion, six hundred million, four hundred forty-five thousand, seven hundred sixty".