345351242240 has 160 divisors (see below), whose sum is σ = 836336185344. Its totient is φ = 136760279040.

The previous prime is 345351242161. The next prime is 345351242261. The reversal of 345351242240 is 42242153543.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×345351242240² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 345351242240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214903517 + ... + 214905123.

Almost surely, 2^345351242240 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 345351242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418168092672).

345351242240 is an abundant number, since it is smaller than the sum of its proper divisors (490984943104).

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

345351242240 is a wasteful number, since it uses less digits than its factorization.

345351242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 345351242240 its reverse (42242153543), we get a palindrome (387593395783).

The spelling of 345351242240 in words is "three hundred forty-five billion, three hundred fifty-one million, two hundred forty-two thousand, two hundred forty".