34841883648 has 264 divisors, whose sum is σ = 109719134496. Its totient is φ = 9744384000.

The previous prime is 34841883623. The next prime is 34841883677. The reversal of 34841883648 is 84638814843.

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×34841883648² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5707798 + ... + 5713898.

Almost surely, 2^34841883648 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 34841883648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54859567248).

34841883648 is an abundant number, since it is smaller than the sum of its proper divisors (74877250848).

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

34841883648 is a wasteful number, since it uses less digits than its factorization.

34841883648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6161 (or 6130 counting only the distinct ones).

The product of its digits is 14155776, while the sum is 57.

The spelling of 34841883648 in words is "thirty-four billion, eight hundred forty-one million, eight hundred eighty-three thousand, six hundred forty-eight".