346200870 has 64 divisors (see below), whose sum is σ = 862617600. Its totient is φ = 88828800.

The previous prime is 346200863. The next prime is 346200887. The reversal of 346200870 is 78002643.

346200870 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176656 + ... + 178604.

It is an arithmetic number, because the mean of its divisors is an integer number (13478400).

Almost surely, 2^346200870 is an apocalyptic number.

346200870 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 346200870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431308800).

346200870 is an abundant number, since it is smaller than the sum of its proper divisors (516416730).

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

346200870 is a wasteful number, since it uses less digits than its factorization.

346200870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181.

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 346200870 is about 18606.4738733592. The cubic root of 346200870 is about 702.1707241364.

The spelling of 346200870 in words is "three hundred forty-six million, two hundred thousand, eight hundred seventy".