349796160 has 168 divisors, whose sum is σ = 1375111296. Its totient is φ = 79948800.

The previous prime is 349796159. The next prime is 349796171. The reversal of 349796160 is 61697943.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11485 + ... + 28835.

Almost surely, 2^349796160 is an apocalyptic number.

349796160 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 349796160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687555648).

349796160 is an abundant number, since it is smaller than the sum of its proper divisors (1025315136).

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

349796160 is a wasteful number, since it uses less digits than its factorization.

349796160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17381 (or 17368 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 349796160 is about 18702.8382872761. The cubic root of 349796160 is about 704.5930350788.

The spelling of 349796160 in words is "three hundred forty-nine million, seven hundred ninety-six thousand, one hundred sixty".