34457458728 has 192 divisors, whose sum is σ = 111236037120. Its totient is φ = 8640979200.

The previous prime is 34457458723. The next prime is 34457458733. The reversal of 34457458728 is 82785475443.

It is an interprime number because it is at equal distance from previous prime (34457458723) and next prime (34457458733).

It is not an unprimeable number, because it can be changed into a prime (34457458723) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1543083 + ... + 1565253.

It is an arithmetic number, because the mean of its divisors is an integer number (579354360).

Almost surely, 2^34457458728 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 34457458728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55618018560).

34457458728 is an abundant number, since it is smaller than the sum of its proper divisors (76778578392).

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

34457458728 is a wasteful number, since it uses less digits than its factorization.

34457458728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22256 (or 22223 counting only the distinct ones).

The product of its digits is 30105600, while the sum is 57.

The spelling of 34457458728 in words is "thirty-four billion, four hundred fifty-seven million, four hundred fifty-eight thousand, seven hundred twenty-eight".