346867920 has 240 divisors, whose sum is σ = 1381161600. Its totient is φ = 79252992.

The previous prime is 346867901. The next prime is 346867921. The reversal of 346867920 is 29768643.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346867921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134806 + ... + 137354.

It is an arithmetic number, because the mean of its divisors is an integer number (5754840).

Almost surely, 2^346867920 is an apocalyptic number.

346867920 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 346867920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690580800).

346867920 is an abundant number, since it is smaller than the sum of its proper divisors (1034293680).

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

346867920 is a wasteful number, since it uses less digits than its factorization.

346867920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2584 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 346867920 is about 18624.3904598245. The cubic root of 346867920 is about 702.6214090050.

The spelling of 346867920 in words is "three hundred forty-six million, eight hundred sixty-seven thousand, nine hundred twenty".