34662266010 has 128 divisors (see below), whose sum is σ = 98499974400. Its totient is φ = 8756678016.

The previous prime is 34662265999. The next prime is 34662266039. The reversal of 34662266010 is 1066226643.

34662266010 is a `hidden beast` number, since 3 + 46 + 6 + 2 + 2 + 6 + 601 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 373822 + ... + 457238.

It is an arithmetic number, because the mean of its divisors is an integer number (769531050).

Almost surely, 2^34662266010 is an apocalyptic number.

34662266010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34662266010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49249987200).

34662266010 is an abundant number, since it is smaller than the sum of its proper divisors (63837708390).

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

34662266010 is an equidigital number, since it uses as much as digits as its factorization.

34662266010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83464 (or 83446 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 34662266010 in words is "thirty-four billion, six hundred sixty-two million, two hundred sixty-six thousand, ten".