346819680 has 144 divisors (see below), whose sum is σ = 1189856304. Its totient is φ = 91991040.

The previous prime is 346819667. The next prime is 346819699. The reversal of 346819680 is 86918643.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 326350 + ... + 327410.

It is an arithmetic number, because the mean of its divisors is an integer number (8262891).

Almost surely, 2^346819680 is an apocalyptic number.

346819680 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 346819680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594928152).

346819680 is an abundant number, since it is smaller than the sum of its proper divisors (843036624).

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

346819680 is a wasteful number, since it uses less digits than its factorization.

346819680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 346819680 is about 18623.0953388528. The cubic root of 346819680 is about 702.5888355804.

The spelling of 346819680 in words is "three hundred forty-six million, eight hundred nineteen thousand, six hundred eighty".