34389635328 has 216 divisors, whose sum is σ = 104398624512. Its totient is φ = 10865885184.

The previous prime is 34389635299. The next prime is 34389635353. The reversal of 34389635328 is 82353698343.

It is a happy number.

34389635328 is a `hidden beast` number, since 3 + 43 + 8 + 9 + 63 + 532 + 8 = 666.

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, 5985225 + ... + 5990967.

Almost surely, 2^34389635328 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 34389635328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52199312256).

34389635328 is an abundant number, since it is smaller than the sum of its proper divisors (70008989184).

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

34389635328 is a wasteful number, since it uses less digits than its factorization.

34389635328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5901 (or 5884 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 54.

The spelling of 34389635328 in words is "thirty-four billion, three hundred eighty-nine million, six hundred thirty-five thousand, three hundred twenty-eight".