34288633760 has 144 divisors (see below), whose sum is σ = 84116831400. Its totient is φ = 13207726080.

The previous prime is 34288633759. The next prime is 34288633777. The reversal of 34288633760 is 6733688243.

It can be written as a sum of positive squares in 4 ways, for example, as 20440992784 + 13847640976 = 142972^2 + 117676^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34288633699 and 34288633708.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41361026 + ... + 41361854.

Almost surely, 2^34288633760 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 34288633760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42058415700).

34288633760 is an abundant number, since it is smaller than the sum of its proper divisors (49828197640).

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

34288633760 is a wasteful number, since it uses less digits than its factorization.

34288633760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 50.

The spelling of 34288633760 in words is "thirty-four billion, two hundred eighty-eight million, six hundred thirty-three thousand, seven hundred sixty".