34466979636 has 72 divisors (see below), whose sum is σ = 90974205504. Its totient is φ = 10982062080.

The previous prime is 34466979629. The next prime is 34466979637. The reversal of 34466979636 is 63697966443.

34466979636 is a `hidden beast` number, since 3 + 446 + 69 + 79 + 63 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34466979637) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1287540 + ... + 1314036.

It is an arithmetic number, because the mean of its divisors is an integer number (1263530632).

Almost surely, 2^34466979636 is an apocalyptic number.

34466979636 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34466979636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45487102752).

34466979636 is an abundant number, since it is smaller than the sum of its proper divisors (56507225868).

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

34466979636 is a wasteful number, since it uses less digits than its factorization.

34466979636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28101 (or 28096 counting only the distinct ones).

The product of its digits is 105815808, while the sum is 63.

The spelling of 34466979636 in words is "thirty-four billion, four hundred sixty-six million, nine hundred seventy-nine thousand, six hundred thirty-six".