349620 has 24 divisors (see below), whose sum is σ = 979104. Its totient is φ = 93216.

The previous prime is 349603. The next prime is 349637. The reversal of 349620 is 26943.

It is an interprime number because it is at equal distance from previous prime (349603) and next prime (349637).

It is a d-powerful number, because it can be written as 3⁷ + 4⁴ + 6⁷ + 9⁵ + 2¹³ + 0 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 349620.

It is an unprimeable number.

349620 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 7 ways as a sum of consecutive naturals, for example, 2854 + ... + 2973.

It is an arithmetic number, because the mean of its divisors is an integer number (40796).

2³⁴⁹⁶²⁰ is an apocalyptic number.

349620 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349620 is an abundant number, since it is smaller than the sum of its proper divisors (629484).

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

349620 is a wasteful number, since it uses less digits than its factorization.

349620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5839 (or 5837 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 349620 is about 591.2867324742. The cubic root of 349620 is about 70.4474735752.

It can be divided in two parts, 349 and 620, that added together give a palindrome (969).

The spelling of 349620 in words is "three hundred forty-nine thousand, six hundred twenty".