349776 has 60 divisors (see below), whose sum is σ = 1121952. Its totient is φ = 99648.

The previous prime is 349759. The next prime is 349787. The reversal of 349776 is 677943.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 349776.

It is a congruent number.

It is an unprimeable number.

349776 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 835 + ... + 1181.

2³⁴⁹⁷⁷⁶ is an apocalyptic number.

349776 is a gapful number since it is divisible by the number (36) 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 349776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560976).

349776 is an abundant number, since it is smaller than the sum of its proper divisors (772176).

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

349776 is a wasteful number, since it uses less digits than its factorization.

349776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 359 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 349776 is about 591.4186334569. The cubic root of 349776 is about 70.4579498749.

The spelling of 349776 in words is "three hundred forty-nine thousand, seven hundred seventy-six".