34420420224 has 96 divisors (see below), whose sum is σ = 100672293540. Its totient is φ = 11285360640.

The previous prime is 34420420201. The next prime is 34420420259. The reversal of 34420420224 is 42202402443.

34420420224 is a `hidden beast` number, since 34 + 420 + 4 + 202 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23556110400 + 10864309824 = 153480^2 + 104232^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×34420420224³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 174637 + ... + 315180.

Almost surely, 2^34420420224 is an apocalyptic number.

It is an amenable number.

34420420224 is an abundant number, since it is smaller than the sum of its proper divisors (66251873316).

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

34420420224 is a wasteful number, since it uses less digits than its factorization.

34420420224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489898 (or 489883 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 34420420224 its reverse (42202402443), we get a palindrome (76622822667).

The spelling of 34420420224 in words is "thirty-four billion, four hundred twenty million, four hundred twenty thousand, two hundred twenty-four".