34000503872 has 84 divisors (see below), whose sum is σ = 71321515980. Its totient is φ = 16062864384.

The previous prime is 34000503853. The next prime is 34000503941. The reversal of 34000503872 is 27830500043.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12386799616 + 21613704256 = 111296^2 + 147016^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4095758 + ... + 4104050.

Almost surely, 2^34000503872 is an apocalyptic number.

34000503872 is a gapful number since it is divisible by the number (32) 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 34000503872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35660757990).

34000503872 is an abundant number, since it is smaller than the sum of its proper divisors (37321012108).

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

34000503872 is an equidigital number, since it uses as much as digits as its factorization.

34000503872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8428 (or 8371 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The spelling of 34000503872 in words is "thirty-four billion, five hundred three thousand, eight hundred seventy-two".