34466810688 has 224 divisors, whose sum is σ = 105839971200. Its totient is φ = 10987757568.

The previous prime is 34466810681. The next prime is 34466810717. The reversal of 34466810688 is 88601866443.

It is a super-2 number, since 2×34466810688² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34466810681) 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, 3767656 + ... + 3776792.

Almost surely, 2^34466810688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34466810688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52919985600).

34466810688 is an abundant number, since it is smaller than the sum of its proper divisors (71373160512).

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

34466810688 is a wasteful number, since it uses less digits than its factorization.

34466810688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9254 (or 9238 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 34466810688 in words is "thirty-four billion, four hundred sixty-six million, eight hundred ten thousand, six hundred eighty-eight".