345395664 has 200 divisors, whose sum is σ = 1080017928. Its totient is φ = 106168320.

The previous prime is 345395641. The next prime is 345395683. The reversal of 345395664 is 466593543.

345395664 is a `hidden beast` number, since 3 + 4 + 539 + 56 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 100160064 + 245235600 = 10008^2 + 15660^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1343824 + ... + 1344080.

Almost surely, 2^345395664 is an apocalyptic number.

345395664 is a gapful number since it is divisible by the number (34) 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 345395664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540008964).

345395664 is an abundant number, since it is smaller than the sum of its proper divisors (734622264).

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

345395664 is a wasteful number, since it uses less digits than its factorization.

345395664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 340 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 45.

The square root of 345395664 is about 18584.8234858446. The cubic root of 345395664 is about 701.6259238653.

The spelling of 345395664 in words is "three hundred forty-five million, three hundred ninety-five thousand, six hundred sixty-four".