34021806966 has 96 divisors (see below), whose sum is σ = 86072051520. Its totient is φ = 9511907328.

The previous prime is 34021806913. The next prime is 34021806979. The reversal of 34021806966 is 66960812043.

34021806966 is a `hidden beast` number, since 3 + 402 + 180 + 6 + 9 + 66 = 666.

It is a super-2 number, since 2×34021806966² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1072120 + ... + 1103396.

It is an arithmetic number, because the mean of its divisors is an integer number (896583870).

Almost surely, 2^34021806966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34021806966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43036025760).

34021806966 is an abundant number, since it is smaller than the sum of its proper divisors (52050244554).

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

34021806966 is a wasteful number, since it uses less digits than its factorization.

34021806966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31478 (or 31475 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 34021806966 in words is "thirty-four billion, twenty-one million, eight hundred six thousand, nine hundred sixty-six".