346004640 has 288 divisors, whose sum is σ = 1275595776. Its totient is φ = 85155840.

The previous prime is 346004623. The next prime is 346004651. The reversal of 346004640 is 46400643.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1026552 + ... + 1026888.

It is an arithmetic number, because the mean of its divisors is an integer number (4429152).

Almost surely, 2^346004640 is an apocalyptic number.

346004640 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 346004640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637797888).

346004640 is an abundant number, since it is smaller than the sum of its proper divisors (929591136).

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

346004640 is a wasteful number, since it uses less digits than its factorization.

346004640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 346004640 is about 18601.1999612928. The cubic root of 346004640 is about 702.0380333449.

The spelling of 346004640 in words is "three hundred forty-six million, four thousand, six hundred forty".