345424008040 has 32 divisors (see below), whose sum is σ = 779687126280. Its totient is φ = 137728161792.

The previous prime is 345424008023. The next prime is 345424008053. The reversal of 345424008040 is 40800424543.

It can be written as a sum of positive squares in 4 ways, for example, as 244646965924 + 100777042116 = 494618^2 + 317454^2 .

It is a junction number, because it is equal to n+sod(n) for n = 345424007987 and 345424008005.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13782369 + ... + 13807408.

Almost surely, 2^345424008040 is an apocalyptic number.

It is an amenable number.

345424008040 is an abundant number, since it is smaller than the sum of its proper divisors (434263118240).

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

345424008040 is a wasteful number, since it uses less digits than its factorization.

345424008040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27590101 (or 27590097 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 34.

The spelling of 345424008040 in words is "three hundred forty-five billion, four hundred twenty-four million, eight thousand, forty".