34506497760 has 288 divisors, whose sum is σ = 126653248512. Its totient is φ = 7874012160.

The previous prime is 34506497743. The next prime is 34506497783. The reversal of 34506497760 is 6779460543.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 24248409 + ... + 24249831.

It is an arithmetic number, because the mean of its divisors is an integer number (439768224).

Almost surely, 2^34506497760 is an apocalyptic number.

34506497760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34506497760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63326624256).

34506497760 is an abundant number, since it is smaller than the sum of its proper divisors (92146750752).

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

34506497760 is a wasteful number, since it uses less digits than its factorization.

34506497760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2486 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 51.

The spelling of 34506497760 in words is "thirty-four billion, five hundred six million, four hundred ninety-seven thousand, seven hundred sixty".