34234400221 has 64 divisors (see below), whose sum is σ = 42224025600. Its totient is φ = 27708912000.

The previous prime is 34234400201. The next prime is 34234400227. The reversal of 34234400221 is 12200443243.

It is a happy number.

It is not a de Polignac number, because 34234400221 - 2³³ = 25644465629 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34234400227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103427026 + ... + 103427356.

It is an arithmetic number, because the mean of its divisors is an integer number (659750400).

Almost surely, 2^34234400221 is an apocalyptic number.

34234400221 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

34234400221 is a deficient number, since it is larger than the sum of its proper divisors (7989625379).

34234400221 is a wasteful number, since it uses less digits than its factorization.

34234400221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 34234400221 its reverse (12200443243), we get a palindrome (46434843464).

The spelling of 34234400221 in words is "thirty-four billion, two hundred thirty-four million, four hundred thousand, two hundred twenty-one".