34220332303120 has 40 divisors (see below), whose sum is σ = 80382502237464. Its totient is φ = 13547018145792.

The previous prime is 34220332303109. The next prime is 34220332303133. The reversal of 34220332303120 is 2130323302243.

It can be written as a sum of positive squares in 4 ways, for example, as 2137767696 + 34218194535424 = 46236^2 + 5849632^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×34220332303120² (a number of 28 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 2204910559 + ... + 2204926078.

Almost surely, 2^{34220332303120} is an apocalyptic number.

It is an amenable number.

34220332303120 is an abundant number, since it is smaller than the sum of its proper divisors (46162169934344).

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

34220332303120 is a wasteful number, since it uses less digits than its factorization.

34220332303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4409836747 (or 4409836741 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 34220332303120 its reverse (2130323302243), we get a palindrome (36350655605363).

The spelling of 34220332303120 in words is "thirty-four trillion, two hundred twenty billion, three hundred thirty-two million, three hundred three thousand, one hundred twenty".