35034691968 has 128 divisors (see below), whose sum is σ = 103469493600. Its totient is φ = 11670497280.

The previous prime is 35034691963. The next prime is 35034691969. The reversal of 35034691968 is 86919643053.

35034691968 is a `hidden beast` number, since 3 + 503 + 4 + 69 + 19 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35034691963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7922398 + ... + 7926818.

Almost surely, 2^35034691968 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 35034691968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51734746800).

35034691968 is an abundant number, since it is smaller than the sum of its proper divisors (68434801632).

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

35034691968 is a wasteful number, since it uses less digits than its factorization.

35034691968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6737 (or 6719 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 35034691968 in words is "thirty-five billion, thirty-four million, six hundred ninety-one thousand, nine hundred sixty-eight".