345995424 has 108 divisors (see below), whose sum is σ = 1045458414. Its totient is φ = 108521472.

The previous prime is 345995423. The next prime is 345995471. The reversal of 345995424 is 424599543.

345995424 is a `hidden beast` number, since 3 + 4 + 599 + 54 + 2 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 341067024 + 4928400 = 18468^2 + 2220^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 345995424.

It is not an unprimeable number, because it can be changed into a prime (345995423) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 81154 + ... + 85310.

Almost surely, 2^345995424 is an apocalyptic number.

345995424 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 345995424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522729207).

345995424 is an abundant number, since it is smaller than the sum of its proper divisors (699462990).

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

345995424 is a wasteful number, since it uses less digits than its factorization.

345995424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4207 (or 4179 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 345995424 is about 18600.9522336895. The cubic root of 345995424 is about 702.0318002494.

The spelling of 345995424 in words is "three hundred forty-five million, nine hundred ninety-five thousand, four hundred twenty-four".