34400002031144 has 32 divisors (see below), whose sum is σ = 66494022978600. Its totient is φ = 16673606676480.

The previous prime is 34400002031093. The next prime is 34400002031173. The reversal of 34400002031144 is 44113020000443.

It can be written as a sum of positive squares in 4 ways, for example, as 14794500635044 + 19605501396100 = 3846362^2 + 4427810^2 .

It is a super-2 number, since 2×34400002031144² (a number of 28 digits) contains 22 as substring.

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, 333955049 + ... + 334058040.

Almost surely, 2^{34400002031144} is an apocalyptic number.

It is an amenable number.

34400002031144 is a deficient number, since it is larger than the sum of its proper divisors (32094020947456).

34400002031144 is a wasteful number, since it uses less digits than its factorization.

34400002031144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668013293 (or 668013289 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 34400002031144 its reverse (44113020000443), we get a palindrome (78513022031587).

The spelling of 34400002031144 in words is "thirty-four trillion, four hundred billion, two million, thirty-one thousand, one hundred forty-four".