34288507456 has 112 divisors (see below), whose sum is σ = 82355106816. Its totient is φ = 13846086144.

The previous prime is 34288507403. The next prime is 34288507471. The reversal of 34288507456 is 65470588243.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 665535 + ... + 715201.

Almost surely, 2^34288507456 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 34288507456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41177553408).

34288507456 is an abundant number, since it is smaller than the sum of its proper divisors (48066599360).

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

34288507456 is a wasteful number, since it uses less digits than its factorization.

34288507456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49776 (or 49766 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 52.

The spelling of 34288507456 in words is "thirty-four billion, two hundred eighty-eight million, five hundred seven thousand, four hundred fifty-six".