34969783632 has 640 divisors, whose sum is σ = 122392166400. Its totient is φ = 8360755200.

The previous prime is 34969783567. The next prime is 34969783687. The reversal of 34969783632 is 23638796943.

It is a super-2 number, since 2×34969783632² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 129039657 + ... + 129039927.

It is an arithmetic number, because the mean of its divisors is an integer number (191237760).

Almost surely, 2^34969783632 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 34969783632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61196083200).

34969783632 is an abundant number, since it is smaller than the sum of its proper divisors (87422382768).

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

34969783632 is a wasteful number, since it uses less digits than its factorization.

34969783632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 389 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 60.

The spelling of 34969783632 in words is "thirty-four billion, nine hundred sixty-nine million, seven hundred eighty-three thousand, six hundred thirty-two".