34004523040 has 72 divisors (see below), whose sum is σ = 83201734980. Its totient is φ = 13132729344.

The previous prime is 34004523001. The next prime is 34004523061. The reversal of 34004523040 is 4032540043.

It can be written as a sum of positive squares in 6 ways, for example, as 12661650576 + 21342872464 = 112524^2 + 146092^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34004522996 and 34004523014.

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, 8206 + ... + 260914.

Almost surely, 2^34004523040 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 34004523040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41600867490).

34004523040 is an abundant number, since it is smaller than the sum of its proper divisors (49197211940).

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

34004523040 is a wasteful number, since it uses less digits than its factorization.

34004523040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252782 (or 252745 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The spelling of 34004523040 in words is "thirty-four billion, four million, five hundred twenty-three thousand, forty".