349560135680 has 448 divisors, whose sum is σ = 990843840000. Its totient is φ = 118322233344.

The previous prime is 349560135667. The next prime is 349560135689. The reversal of 349560135680 is 86531065943.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349560135689) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1952849831 + ... + 1952850009.

It is an arithmetic number, because the mean of its divisors is an integer number (2211705000).

Almost surely, 2^349560135680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349560135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495421920000).

349560135680 is an abundant number, since it is smaller than the sum of its proper divisors (641283704320).

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

349560135680 is an equidigital number, since it uses as much as digits as its factorization.

349560135680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 50.

The spelling of 349560135680 in words is "three hundred forty-nine billion, five hundred sixty million, one hundred thirty-five thousand, six hundred eighty".