349604431680 has 336 divisors, whose sum is σ = 1309416264576. Its totient is φ = 78783344640.

The previous prime is 349604431613. The next prime is 349604431753. The reversal of 349604431680 is 86134406943.

It is a tau number, because it is divible by the number of its divisors (336).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3287502 + ... + 3392178.

It is an arithmetic number, because the mean of its divisors is an integer number (3897072216).

Almost surely, 2^349604431680 is an apocalyptic number.

349604431680 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 349604431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654708132288).

349604431680 is an abundant number, since it is smaller than the sum of its proper divisors (959811832896).

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

349604431680 is a wasteful number, since it uses less digits than its factorization.

349604431680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104782 (or 104765 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 349604431680 in words is "three hundred forty-nine billion, six hundred four million, four hundred thirty-one thousand, six hundred eighty".