345422205440 has 160 divisors (see below), whose sum is σ = 913669240176. Its totient is φ = 124429271040.

The previous prime is 345422205439. The next prime is 345422205449. The reversal of 345422205440 is 44502224543.

It can be written as a sum of positive squares in 8 ways, for example, as 112048189696 + 233374015744 = 334736^2 + 483088^2 .

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

It is a super-2 number, since 2×345422205440² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 345422205440.

It is not an unprimeable number, because it can be changed into a prime (345422205449) 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, 1237904 + ... + 1491056.

Almost surely, 2^345422205440 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 345422205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456834620088).

345422205440 is an abundant number, since it is smaller than the sum of its proper divisors (568247034736).

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

345422205440 is a wasteful number, since it uses less digits than its factorization.

345422205440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253230 (or 253214 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 35.

Adding to 345422205440 its reverse (44502224543), we get a palindrome (389924429983).

The spelling of 345422205440 in words is "three hundred forty-five billion, four hundred twenty-two million, two hundred five thousand, four hundred forty".