34214400424 has 8 divisors (see below), whose sum is σ = 64152000810. Its totient is φ = 17107200208.

The previous prime is 34214400401. The next prime is 34214400427. The reversal of 34214400424 is 42400441243.

It can be written as a sum of positive squares in only one way, i.e., 20769997924 + 13444402500 = 144118^2 + 115950^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×34214400424² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34214400392 and 34214400401.

It is not an unprimeable number, because it can be changed into a prime (34214400427) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2138400019 + ... + 2138400034.

Almost surely, 2^34214400424 is an apocalyptic number.

It is an amenable number.

34214400424 is a deficient number, since it is larger than the sum of its proper divisors (29937600386).

34214400424 is a wasteful number, since it uses less digits than its factorization.

34214400424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4276800059 (or 4276800055 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 34214400424 its reverse (42400441243), we get a palindrome (76614841667).

The spelling of 34214400424 in words is "thirty-four billion, two hundred fourteen million, four hundred thousand, four hundred twenty-four".