34400566655 has 32 divisors (see below), whose sum is σ = 50819457024. Its totient is φ = 21769082496.

The previous prime is 34400566637. The next prime is 34400566657. The reversal of 34400566655 is 55666500443.

It is not a de Polignac number, because 34400566655 - 2⁸ = 34400566399 is a prime.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34400566657) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2745134 + ... + 2757636.

It is an arithmetic number, because the mean of its divisors is an integer number (1588108032).

Almost surely, 2^34400566655 is an apocalyptic number.

34400566655 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

34400566655 is a deficient number, since it is larger than the sum of its proper divisors (16418890369).

34400566655 is a wasteful number, since it uses less digits than its factorization.

34400566655 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18575.

The product of its (nonzero) digits is 1296000, while the sum is 44.

The spelling of 34400566655 in words is "thirty-four billion, four hundred million, five hundred sixty-six thousand, six hundred fifty-five".