349813301640 has 128 divisors (see below), whose sum is σ = 1147121740800. Its totient is φ = 84634469120.

The previous prime is 349813301639. The next prime is 349813301653. The reversal of 349813301640 is 46103318943.

It is a junction number, because it is equal to n+sod(n) for n = 349813301592 and 349813301601.

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 31 ways as a sum of consecutive naturals, for example, 400531 + ... + 927389.

It is an arithmetic number, because the mean of its divisors is an integer number (8961888600).

Almost surely, 2^349813301640 is an apocalyptic number.

349813301640 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 349813301640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573560870400).

349813301640 is an abundant number, since it is smaller than the sum of its proper divisors (797308439160).

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

349813301640 is a wasteful number, since it uses less digits than its factorization.

349813301640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527387 (or 527383 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 349813301640 in words is "three hundred forty-nine billion, eight hundred thirteen million, three hundred one thousand, six hundred forty".