346861800 has 144 divisors (see below), whose sum is σ = 1174567680. Its totient is φ = 91728000.

The previous prime is 346861789. The next prime is 346861807. The reversal of 346861800 is 8168643.

It is a happy number.

346861800 is a `hidden beast` number, since 34 + 6 + 8 + 618 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (346861807) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 235065 + ... + 236535.

It is an arithmetic number, because the mean of its divisors is an integer number (8156720).

Almost surely, 2^346861800 is an apocalyptic number.

346861800 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 346861800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587283840).

346861800 is an abundant number, since it is smaller than the sum of its proper divisors (827705880).

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

346861800 is a wasteful number, since it uses less digits than its factorization.

346861800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 346861800 is about 18624.2261584206. The cubic root of 346861800 is about 702.6172767229.

The spelling of 346861800 in words is "three hundred forty-six million, eight hundred sixty-one thousand, eight hundred".