349605360 has 240 divisors, whose sum is σ = 1296667008. Its totient is φ = 83865600.

The previous prime is 349605293. The next prime is 349605371. The reversal of 349605360 is 63506943.

349605360 is a `hidden beast` number, since 3 + 49 + 605 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 383305 + ... + 384215.

Almost surely, 2^349605360 is an apocalyptic number.

349605360 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 349605360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648333504).

349605360 is an abundant number, since it is smaller than the sum of its proper divisors (947061648).

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

349605360 is a wasteful number, since it uses less digits than its factorization.

349605360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 349605360 is about 18697.7367614372. The cubic root of 349605360 is about 704.4649025480.

The spelling of 349605360 in words is "three hundred forty-nine million, six hundred five thousand, three hundred sixty".