349440 has 144 divisors (see below), whose sum is σ = 1373568. Its totient is φ = 73728.

The previous prime is 349423. The next prime is 349471. The reversal of 349440 is 44943.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4 and base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 349440.

It is a congruent number.

It is an unprimeable number.

349440 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 15 ways as a sum of consecutive naturals, for example, 26874 + ... + 26886.

2³⁴⁹⁴⁴⁰ is an apocalyptic number.

349440 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 349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686784).

349440 is an abundant number, since it is smaller than the sum of its proper divisors (1024128).

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

349440 is a wasteful number, since it uses less digits than its factorization.

349440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 349440 is about 591.1345024612. The cubic root of 349440 is about 70.4353816639.

Multiplying 349440 by its sum of digits (24), we get a triangular number (8386560 = T₄₀₉₅).

The spelling of 349440 in words is "three hundred forty-nine thousand, four hundred forty".