35234834000 has 80 divisors (see below), whose sum is σ = 85266204816. Its totient is φ = 14082624000.

The previous prime is 35234833987. The next prime is 35234834009. The reversal of 35234834000 is 43843253.

It can be written as a sum of positive squares in 8 ways, for example, as 10847639104 + 24387194896 = 104152^2 + 156164^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35234834009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2755622 + ... + 2768378.

Almost surely, 2^35234834000 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 35234834000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42633102408).

35234834000 is an abundant number, since it is smaller than the sum of its proper divisors (50031370816).

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

35234834000 is a wasteful number, since it uses less digits than its factorization.

35234834000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14161 (or 14145 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The spelling of 35234834000 in words is "thirty-five billion, two hundred thirty-four million, eight hundred thirty-four thousand".