34052121306 has 128 divisors (see below), whose sum is σ = 89811025920. Its totient is φ = 9358416000.

The previous prime is 34052121251. The next prime is 34052121307. The reversal of 34052121306 is 60312125043.

34052121306 is a `hidden beast` number, since 3 + 4 + 0 + 521 + 2 + 130 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 34052121306.

It is not an unprimeable number, because it can be changed into a prime (34052121307) 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, 1948206 + ... + 1965606.

It is an arithmetic number, because the mean of its divisors is an integer number (701648640).

Almost surely, 2^34052121306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34052121306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44905512960).

34052121306 is an abundant number, since it is smaller than the sum of its proper divisors (55758904614).

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

34052121306 is a wasteful number, since it uses less digits than its factorization.

34052121306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17617 (or 17611 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 34052121306 its reverse (60312125043), we get a palindrome (94364246349).

The spelling of 34052121306 in words is "thirty-four billion, fifty-two million, one hundred twenty-one thousand, three hundred six".