34050415221 has 48 divisors (see below), whose sum is σ = 52813662720. Its totient is φ = 21092400000.

The previous prime is 34050415219. The next prime is 34050415229. The reversal of 34050415221 is 12251405043.

34050415221 is a `hidden beast` number, since 3 + 4 + 0 + 504 + 152 + 2 + 1 = 666.

It is not a de Polignac number, because 34050415221 - 2¹ = 34050415219 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34050415229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1452846 + ... + 1476096.

It is an arithmetic number, because the mean of its divisors is an integer number (1100284640).

Almost surely, 2^34050415221 is an apocalyptic number.

34050415221 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

34050415221 is a deficient number, since it is larger than the sum of its proper divisors (18763247499).

34050415221 is a wasteful number, since it uses less digits than its factorization.

34050415221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23498 (or 23495 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 34050415221 in words is "thirty-four billion, fifty million, four hundred fifteen thousand, two hundred twenty-one".