34714825728 has 264 divisors, whose sum is σ = 104397982560. Its totient is φ = 10170777600.

The previous prime is 34714825703. The next prime is 34714825799. The reversal of 34714825728 is 82752841743.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (264).

It is a congruent number.

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, 32473578 + ... + 32474646.

Almost surely, 2^34714825728 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 34714825728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52198991280).

34714825728 is an abundant number, since it is smaller than the sum of its proper divisors (69683156832).

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

34714825728 is a wasteful number, since it uses less digits than its factorization.

34714825728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1116 counting only the distinct ones).

The product of its digits is 3010560, while the sum is 51.

The spelling of 34714825728 in words is "thirty-four billion, seven hundred fourteen million, eight hundred twenty-five thousand, seven hundred twenty-eight".