346546640 has 80 divisors (see below), whose sum is σ = 883872000. Its totient is φ = 125314560.

The previous prime is 346546633. The next prime is 346546657. The reversal of 346546640 is 46645643.

It is a happy number.

346546640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 346546594 and 346546603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172361 + ... + 174359.

It is an arithmetic number, because the mean of its divisors is an integer number (11048400).

Almost surely, 2^346546640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 346546640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441936000).

346546640 is an abundant number, since it is smaller than the sum of its proper divisors (537325360).

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

346546640 is a wasteful number, since it uses less digits than its factorization.

346546640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2220 (or 2214 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 38.

The square root of 346546640 is about 18615.7632129333. The cubic root of 346546640 is about 702.4044119634.

It can be divided in two parts, 3465 and 46640, that added together give a palindrome (50105).

The spelling of 346546640 in words is "three hundred forty-six million, five hundred forty-six thousand, six hundred forty".