34934383968 has 192 divisors, whose sum is σ = 101702200320. Its totient is φ = 10411315200.

The previous prime is 34934383949. The next prime is 34934383987. The reversal of 34934383968 is 86938343943.

It is an interprime number because it is at equal distance from previous prime (34934383949) and next prime (34934383987).

It is a super-2 number, since 2×34934383968² (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 31 ways as a sum of consecutive naturals, for example, 26444748 + ... + 26446068.

It is an arithmetic number, because the mean of its divisors is an integer number (529698960).

Almost surely, 2^34934383968 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 34934383968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50851100160).

34934383968 is an abundant number, since it is smaller than the sum of its proper divisors (66767816352).

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

34934383968 is a wasteful number, since it uses less digits than its factorization.

34934383968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1741 (or 1733 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 60.

The spelling of 34934383968 in words is "thirty-four billion, nine hundred thirty-four million, three hundred eighty-three thousand, nine hundred sixty-eight".