349600 has 72 divisors (see below), whose sum is σ = 937440. Its totient is φ = 126720.

The previous prime is 349589. The next prime is 349603. The reversal of 349600 is 6943.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (349603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15189 + ... + 15211.

It is an arithmetic number, because the mean of its divisors is an integer number (13020).

2³⁴⁹⁶⁰⁰ 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 349600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468720).

349600 is an abundant number, since it is smaller than the sum of its proper divisors (587840).

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

349600 is a wasteful number, since it uses less digits than its factorization.

349600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 349600 is about 591.2698199638. The cubic root of 349600 is about 70.4461302345.

It can be divided in two parts, 349 and 600, that added together give a palindrome (949).

The spelling of 349600 in words is "three hundred forty-nine thousand, six hundred".