34010023104 has 168 divisors, whose sum is σ = 102865621040. Its totient is φ = 10713710592.

The previous prime is 34010023049. The next prime is 34010023121. The reversal of 34010023104 is 40132001043.

34010023104 is a `hidden beast` number, since 340 + 10 + 0 + 2 + 310 + 4 = 666.

It is a super-2 number, since 2×34010023104² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4735164 + ... + 4742340.

Almost surely, 2^34010023104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34010023104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51432810520).

34010023104 is an abundant number, since it is smaller than the sum of its proper divisors (68855597936).

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

34010023104 is a wasteful number, since it uses less digits than its factorization.

34010023104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7647 (or 7634 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 34010023104 its reverse (40132001043), we get a palindrome (74142024147).

The spelling of 34010023104 in words is "thirty-four billion, ten million, twenty-three thousand, one hundred four".