346909680 has 180 divisors, whose sum is σ = 1261992888. Its totient is φ = 85363200.

The previous prime is 346909639. The next prime is 346909699. The reversal of 346909680 is 86909643.

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 120255 + ... + 123105.

Almost surely, 2^346909680 is an apocalyptic number.

346909680 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 346909680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630996444).

346909680 is an abundant number, since it is smaller than the sum of its proper divisors (915083208).

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

346909680 is a wasteful number, since it uses less digits than its factorization.

346909680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2896 (or 2874 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 346909680 is about 18625.5115365995. The cubic root of 346909680 is about 702.6496044563.

The spelling of 346909680 in words is "three hundred forty-six million, nine hundred nine thousand, six hundred eighty".