34575330816 has 240 divisors, whose sum is σ = 111447960624. Its totient is φ = 10638065664.

The previous prime is 34575330739. The next prime is 34575330821. The reversal of 34575330816 is 61803357543.

34575330816 is a `hidden beast` number, since 34 + 5 + 7 + 533 + 0 + 81 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1606720 + ... + 1628096.

Almost surely, 2^34575330816 is an apocalyptic number.

34575330816 is a gapful number since it is divisible by the number (36) 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 34575330816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55723980312).

34575330816 is an abundant number, since it is smaller than the sum of its proper divisors (76872629808).

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

34575330816 is an equidigital number, since it uses as much as digits as its factorization.

34575330816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21423 (or 21395 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 34575330816 in words is "thirty-four billion, five hundred seventy-five million, three hundred thirty thousand, eight hundred sixteen".