34400433321 has 8 divisors (see below), whose sum is σ = 50963604960. Its totient is φ = 22933622196.

The previous prime is 34400433313. The next prime is 34400433323. The reversal of 34400433321 is 12333400443.

It is not a de Polignac number, because 34400433321 - 2³ = 34400433313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 1274090123 = 34400433321 / (3 + 4 + 4 + 0 + 0 + 4 + 3 + 3 + 3 + 2 + 1).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34400433323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 637045035 + ... + 637045088.

It is an arithmetic number, because the mean of its divisors is an integer number (6370450620).

Almost surely, 2^34400433321 is an apocalyptic number.

It is an amenable number.

34400433321 is a deficient number, since it is larger than the sum of its proper divisors (16563171639).

34400433321 is a wasteful number, since it uses less digits than its factorization.

34400433321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274090132 (or 1274090126 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 34400433321 its reverse (12333400443), we get a palindrome (46733833764).

The spelling of 34400433321 in words is "thirty-four billion, four hundred million, four hundred thirty-three thousand, three hundred twenty-one".