345344554440 has 96 divisors (see below), whose sum is σ = 1122450521400. Its totient is φ = 92085258240.

The previous prime is 345344554411. The next prime is 345344554453. The reversal of 345344554440 is 44455443543.

345344554440 is a `hidden beast` number, since 3 + 4 + 53 + 4 + 4 + 554 + 4 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 259017887844 + 86326666596 = 508938^2 + 293814^2 .

It is a super-2 number, since 2×345344554440² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6926400 + ... + 6976080.

Almost surely, 2^345344554440 is an apocalyptic number.

345344554440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345344554440 is an abundant number, since it is smaller than the sum of its proper divisors (777105966960).

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

345344554440 is a wasteful number, since it uses less digits than its factorization.

345344554440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69007 (or 69000 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 45.

Adding to 345344554440 its reverse (44455443543), we get a palindrome (389799997983).

The spelling of 345344554440 in words is "three hundred forty-five billion, three hundred forty-four million, five hundred fifty-four thousand, four hundred forty".