345912640 has 112 divisors (see below), whose sum is σ = 880311168. Its totient is φ = 129153024.

The previous prime is 345912631. The next prime is 345912641. The reversal of 345912640 is 46219543.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 345912596 and 345912605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345912641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315934 + ... + 317026.

Almost surely, 2^345912640 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 345912640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440155584).

345912640 is an abundant number, since it is smaller than the sum of its proper divisors (534398528).

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

345912640 is a wasteful number, since it uses less digits than its factorization.

345912640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 345912640 is about 18598.7268381467. The cubic root of 345912640 is about 701.9758056396.

The spelling of 345912640 in words is "three hundred forty-five million, nine hundred twelve thousand, six hundred forty".