349460160 has 672 divisors, whose sum is σ = 1501079040. Its totient is φ = 68124672.

The previous prime is 349460147. The next prime is 349460161. The reversal of 349460160 is 61064943.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349460161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15193909 + ... + 15193931.

Almost surely, 2^349460160 is an apocalyptic number.

349460160 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 349460160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750539520).

349460160 is an abundant number, since it is smaller than the sum of its proper divisors (1151618880).

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

349460160 is a wasteful number, since it uses less digits than its factorization.

349460160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 349460160 is about 18693.8535353201. The cubic root of 349460160 is about 704.3673616445.

The spelling of 349460160 in words is "three hundred forty-nine million, four hundred sixty thousand, one hundred sixty".