34344124020 has 72 divisors (see below), whose sum is σ = 106142812776. Its totient is φ = 8985629952.

The previous prime is 34344124019. The next prime is 34344124057. The reversal of 34344124020 is 2042144343.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1338681744 + 33005442276 = 36588^2 + 181674^2 .

It is a super-2 number, since 2×34344124020² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1790467 + ... + 1809546.

It is an arithmetic number, because the mean of its divisors is an integer number (1474205733).

Almost surely, 2^34344124020 is an apocalyptic number.

34344124020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34344124020 is an abundant number, since it is smaller than the sum of its proper divisors (71798688756).

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

34344124020 is a wasteful number, since it uses less digits than its factorization.

34344124020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3600081 (or 3600076 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 34344124020 its reverse (2042144343), we get a palindrome (36386268363).

The spelling of 34344124020 in words is "thirty-four billion, three hundred forty-four million, one hundred twenty-four thousand, twenty".