34462228288 has 56 divisors (see below), whose sum is σ = 69726225800. Its totient is φ = 16896688128.

The previous prime is 34462228279. The next prime is 34462228321. The reversal of 34462228288 is 88282226443.

It can be written as a sum of positive squares in 4 ways, for example, as 1253726464 + 33208501824 = 35408^2 + 182232^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 651208 + ... + 702136.

It is an arithmetic number, because the mean of its divisors is an integer number (1245111175).

Almost surely, 2^34462228288 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 34462228288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34863112900).

34462228288 is an abundant number, since it is smaller than the sum of its proper divisors (35263997512).

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

34462228288 is a wasteful number, since it uses less digits than its factorization.

34462228288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51147 (or 51137 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 49.

The spelling of 34462228288 in words is "thirty-four billion, four hundred sixty-two million, two hundred twenty-eight thousand, two hundred eighty-eight".