34969853952 has 336 divisors, whose sum is σ = 114354388512. Its totient is φ = 10590289920.

The previous prime is 34969853939. The next prime is 34969853983. The reversal of 34969853952 is 25935896943.

34969853952 is a `hidden beast` number, since 3 + 4 + 9 + 6 + 98 + 539 + 5 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 34969853952.

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, 21896418 + ... + 21898014.

It is an arithmetic number, because the mean of its divisors is an integer number (340340442).

Almost surely, 2^34969853952 is an apocalyptic number.

34969853952 is a gapful number since it is divisible by the number (32) 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 34969853952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57177194256).

34969853952 is an abundant number, since it is smaller than the sum of its proper divisors (79384534560).

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

34969853952 is an equidigital number, since it uses as much as digits as its factorization.

34969853952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1613 counting only the distinct ones).

The product of its digits is 62985600, while the sum is 63.

The spelling of 34969853952 in words is "thirty-four billion, nine hundred sixty-nine million, eight hundred fifty-three thousand, nine hundred fifty-two".