348920 has 64 divisors (see below), whose sum is σ = 937440. Its totient is φ = 115200.

The previous prime is 348919. The next prime is 348923. The reversal of 348920 is 29843.

348920 = T₇₅ + T₇₆ + ... + T₁₃₅.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 348920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5690 + ... + 5750.

2³⁴⁸⁹²⁰ 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 348920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468720).

348920 is an abundant number, since it is smaller than the sum of its proper divisors (588520).

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

348920 is a wasteful number, since it uses less digits than its factorization.

348920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 348920 is about 590.6945064921. The cubic root of 348920 is about 70.4004261338.

The spelling of 348920 in words is "three hundred forty-eight thousand, nine hundred twenty".