34400354433 has 16 divisors (see below), whose sum is σ = 47112460800. Its totient is φ = 22311058176.

The previous prime is 34400354419. The next prime is 34400354447. The reversal of 34400354433 is 33445300443.

It is an interprime number because it is at equal distance from previous prime (34400354419) and next prime (34400354447).

It is not a de Polignac number, because 34400354433 - 2⁹ = 34400353921 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34400354394 and 34400354403.

It is not an unprimeable number, because it can be changed into a prime (34400354453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1374768 + ... + 1399566.

It is an arithmetic number, because the mean of its divisors is an integer number (2944528800).

Almost surely, 2^34400354433 is an apocalyptic number.

It is an amenable number.

34400354433 is a deficient number, since it is larger than the sum of its proper divisors (12712106367).

34400354433 is a wasteful number, since it uses less digits than its factorization.

34400354433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37336.

The product of its (nonzero) digits is 103680, while the sum is 33.

Adding to 34400354433 its reverse (33445300443), we get a palindrome (67845654876).

The spelling of 34400354433 in words is "thirty-four billion, four hundred million, three hundred fifty-four thousand, four hundred thirty-three".