34174966680 has 288 divisors, whose sum is σ = 115632625680. Its totient is φ = 8753011200.

The previous prime is 34174966543. The next prime is 34174966739. The reversal of 34174966680 is 8666947143.

It is a super-2 number, since 2×34174966680² (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 71 ways as a sum of consecutive naturals, for example, 59850795 + ... + 59851365.

Almost surely, 2^34174966680 is an apocalyptic number.

34174966680 is a gapful number since it is divisible by the number (30) 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 34174966680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57816312840).

34174966680 is an abundant number, since it is smaller than the sum of its proper divisors (81457659000).

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

34174966680 is a wasteful number, since it uses less digits than its factorization.

34174966680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 34174966680 in words is "thirty-four billion, one hundred seventy-four million, nine hundred sixty-six thousand, six hundred eighty".