349536 has 48 divisors (see below), whose sum is σ = 1003968. Its totient is φ = 105600.

The previous prime is 349529. The next prime is 349553. The reversal of 349536 is 635943.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 891 + ... + 1221.

It is an arithmetic number, because the mean of its divisors is an integer number (20916).

2³⁴⁹⁵³⁶ 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 349536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501984).

349536 is an abundant number, since it is smaller than the sum of its proper divisors (654432).

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

349536 is a wasteful number, since it uses less digits than its factorization.

349536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 347 counting only the distinct ones).

The product of its digits is 9720, while the sum is 30.

The square root of 349536 is about 591.2156966793. The cubic root of 349536 is about 70.4418311999.

The spelling of 349536 in words is "three hundred forty-nine thousand, five hundred thirty-six".