34212414093 has 64 divisors (see below), whose sum is σ = 55782881280. Its totient is φ = 18365356800.

The previous prime is 34212414079. The next prime is 34212414101. The reversal of 34212414093 is 39041421243.

It is not a de Polignac number, because 34212414093 - 2¹⁰ = 34212413069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34212414013) 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, 2019448 + ... + 2036318.

It is an arithmetic number, because the mean of its divisors is an integer number (871607520).

Almost surely, 2^34212414093 is an apocalyptic number.

34212414093 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

34212414093 is a deficient number, since it is larger than the sum of its proper divisors (21570467187).

34212414093 is a wasteful number, since it uses less digits than its factorization.

34212414093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17090.

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 34212414093 in words is "thirty-four billion, two hundred twelve million, four hundred fourteen thousand, ninety-three".