34801806452 has 72 divisors (see below), whose sum is σ = 71868119400. Its totient is φ = 14701430016.

The previous prime is 34801806443. The next prime is 34801806463. The reversal of 34801806452 is 25460810843.

It can be written as a sum of positive squares in 4 ways, for example, as 26619880336 + 8181926116 = 163156^2 + 90454^2 .

It is a super-2 number, since 2×34801806452² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4204574 + ... + 4212842.

It is an arithmetic number, because the mean of its divisors is an integer number (998168325).

Almost surely, 2^34801806452 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 34801806452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35934059700).

34801806452 is an abundant number, since it is smaller than the sum of its proper divisors (37066312948).

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

34801806452 is a wasteful number, since it uses less digits than its factorization.

34801806452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8593 (or 8584 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 41.

The spelling of 34801806452 in words is "thirty-four billion, eight hundred one million, eight hundred six thousand, four hundred fifty-two".