34001221321 has 16 divisors (see below), whose sum is σ = 36111398400. Its totient is φ = 31961404800.

The previous prime is 34001221273. The next prime is 34001221337. The reversal of 34001221321 is 12312210043.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 34001221321 - 2⁹ = 34001220809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34001221351) 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, 232650 + ... + 349468.

It is an arithmetic number, because the mean of its divisors is an integer number (2256962400).

Almost surely, 2^34001221321 is an apocalyptic number.

34001221321 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

34001221321 is a deficient number, since it is larger than the sum of its proper divisors (2110177079).

34001221321 is a wasteful number, since it uses less digits than its factorization.

34001221321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117120.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 34001221321 its reverse (12312210043), we get a palindrome (46313431364).

The spelling of 34001221321 in words is "thirty-four billion, one million, two hundred twenty-one thousand, three hundred twenty-one".