34400301221 has 16 divisors (see below), whose sum is σ = 40806729600. Its totient is φ = 28587107520.

The previous prime is 34400301203. The next prime is 34400301269. The reversal of 34400301221 is 12210300443.

It is a cyclic number.

It is not a de Polignac number, because 34400301221 - 2⁶ = 34400301157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34400301193 and 34400301202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34400301521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1153046 + ... + 1182503.

It is an arithmetic number, because the mean of its divisors is an integer number (2550420600).

Almost surely, 2^34400301221 is an apocalyptic number.

It is an amenable number.

34400301221 is a deficient number, since it is larger than the sum of its proper divisors (6406428379).

34400301221 is a wasteful number, since it uses less digits than its factorization.

34400301221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2335676.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 34400301221 its reverse (12210300443), we get a palindrome (46610601664).

The spelling of 34400301221 in words is "thirty-four billion, four hundred million, three hundred one thousand, two hundred twenty-one".