34165364640 has 192 divisors, whose sum is σ = 117505261440. Its totient is φ = 8275415040.

The previous prime is 34165364591. The next prime is 34165364669. The reversal of 34165364640 is 4646356143.

It is a junction number, because it is equal to n+sod(n) for n = 34165364592 and 34165364601.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8810382 + ... + 8814258.

It is an arithmetic number, because the mean of its divisors is an integer number (612006570).

Almost surely, 2^34165364640 is an apocalyptic number.

34165364640 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 34165364640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58752630720).

34165364640 is an abundant number, since it is smaller than the sum of its proper divisors (83339896800).

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

34165364640 is a wasteful number, since it uses less digits than its factorization.

34165364640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5575 (or 5567 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 34165364640 in words is "thirty-four billion, one hundred sixty-five million, three hundred sixty-four thousand, six hundred forty".