34213612221 has 32 divisors (see below), whose sum is σ = 51354432000. Its totient is φ = 22508950464.

The previous prime is 34213612207. The next prime is 34213612249. The reversal of 34213612221 is 12221631243.

34213612221 is a `hidden beast` number, since 3 + 4 + 21 + 3 + 612 + 2 + 21 = 666.

It is not a de Polignac number, because 34213612221 - 2⁹ = 34213611709 is a prime.

It is a super-2 number, since 2×34213612221² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34213602221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7226371 + ... + 7231103.

It is an arithmetic number, because the mean of its divisors is an integer number (1604826000).

Almost surely, 2^34213612221 is an apocalyptic number.

It is an amenable number.

34213612221 is a deficient number, since it is larger than the sum of its proper divisors (17140819779).

34213612221 is a wasteful number, since it uses less digits than its factorization.

34213612221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8210 (or 8204 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The spelling of 34213612221 in words is "thirty-four billion, two hundred thirteen million, six hundred twelve thousand, two hundred twenty-one".