34523004000 has 192 divisors, whose sum is σ = 115505574912. Its totient is φ = 9010112000.

The previous prime is 34523003989. The next prime is 34523004001. The reversal of 34523004000 is 40032543.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34523004001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 533395 + ... + 594605.

It is an arithmetic number, because the mean of its divisors is an integer number (601591536).

Almost surely, 2^34523004000 is an apocalyptic number.

34523004000 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 34523004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57752787456).

34523004000 is an abundant number, since it is smaller than the sum of its proper divisors (80982570912).

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

34523004000 is a wasteful number, since it uses less digits than its factorization.

34523004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61286 (or 61268 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

Adding to 34523004000 its reverse (40032543), we get a palindrome (34563036543).

The spelling of 34523004000 in words is "thirty-four billion, five hundred twenty-three million, four thousand".