349378908160 has 208 divisors, whose sum is σ = 916389683712. Its totient is φ = 127284019200.

The previous prime is 349378908139. The next prime is 349378908173. The reversal of 349378908160 is 61809873943.

It is a junction number, because it is equal to n+sod(n) for n = 349378908095 and 349378908104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10776775 + ... + 10809145.

Almost surely, 2^349378908160 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 349378908160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458194841856).

349378908160 is an abundant number, since it is smaller than the sum of its proper divisors (567010775552).

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

349378908160 is a wasteful number, since it uses less digits than its factorization.

349378908160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32448 (or 32426 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 58.

The spelling of 349378908160 in words is "three hundred forty-nine billion, three hundred seventy-eight million, nine hundred eight thousand, one hundred sixty".