34013021406 has 96 divisors (see below), whose sum is σ = 85329054720. Its totient is φ = 8958930624.

The previous prime is 34013021401. The next prime is 34013021411. The reversal of 34013021406 is 60412031043.

It is an interprime number because it is at equal distance from previous prime (34013021401) and next prime (34013021411).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34013021401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3201355 + ... + 3211961.

It is an arithmetic number, because the mean of its divisors is an integer number (888844320).

Almost surely, 2^34013021406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34013021406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42664527360).

34013021406 is an abundant number, since it is smaller than the sum of its proper divisors (51316033314).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34013021406 is a wasteful number, since it uses less digits than its factorization.

34013021406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11478 (or 11471 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 34013021406 its reverse (60412031043), we get a palindrome (94425052449).

The spelling of 34013021406 in words is "thirty-four billion, thirteen million, twenty-one thousand, four hundred six".