34404000043024 has 80 divisors (see below), whose sum is σ = 67174906374576. Its totient is φ = 17069007052800.

The previous prime is 34404000043003. The next prime is 34404000043069. The reversal of 34404000043024 is 42034000040443.

It can be written as a sum of positive squares in 8 ways, for example, as 2187795974400 + 32216204068624 = 1479120^2 + 5675932^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34404000042983 and 34404000043001.

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 15 ways as a sum of consecutive naturals, for example, 2533984524 + ... + 2533998100.

Almost surely, 2^{34404000043024} is an apocalyptic number.

It is an amenable number.

34404000043024 is a deficient number, since it is larger than the sum of its proper divisors (32770906331552).

34404000043024 is a wasteful number, since it uses less digits than its factorization.

34404000043024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15644 (or 15638 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 34404000043024 its reverse (42034000040443), we get a palindrome (76438000083467).

The spelling of 34404000043024 in words is "thirty-four trillion, four hundred four billion, forty-three thousand, twenty-four".