34344565225506 has 32 divisors (see below), whose sum is σ = 76396007654400. Its totient is φ = 11436975668880.

The previous prime is 34344565225499. The next prime is 34344565225511. The reversal of 34344565225506 is 60552256544343.

34344565225506 is a `hidden beast` number, since 3 + 4 + 3 + 4 + 4 + 5 + 65 + 22 + 550 + 6 = 666.

It is a super-3 number, since 3×34344565225506³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311409346 + ... + 311519613.

It is an arithmetic number, because the mean of its divisors is an integer number (2387375239200).

Almost surely, 2^{34344565225506} is an apocalyptic number.

34344565225506 is an abundant number, since it is smaller than the sum of its proper divisors (42051442428894).

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

34344565225506 is a wasteful number, since it uses less digits than its factorization.

34344565225506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622929991 (or 622929985 counting only the distinct ones).

The product of its (nonzero) digits is 51840000, while the sum is 54.

The spelling of 34344565225506 in words is "thirty-four trillion, three hundred forty-four billion, five hundred sixty-five million, two hundred twenty-five thousand, five hundred six".