346798080 has 288 divisors, whose sum is σ = 1241866080. Its totient is φ = 89456640.

The previous prime is 346798069. The next prime is 346798087. The reversal of 346798080 is 80897643.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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 (346798087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4884445 + ... + 4884515.

It is an arithmetic number, because the mean of its divisors is an integer number (4312035).

Almost surely, 2^346798080 is an apocalyptic number.

346798080 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 346798080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620933040).

346798080 is an abundant number, since it is smaller than the sum of its proper divisors (895068000).

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

346798080 is a wasteful number, since it uses less digits than its factorization.

346798080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 346798080 is about 18622.5154047459. The cubic root of 346798080 is about 702.5742494858.

The spelling of 346798080 in words is "three hundred forty-six million, seven hundred ninety-eight thousand, eighty".