34002000234 has 32 divisors (see below), whose sum is σ = 75765930240. Its totient is φ = 11303110656.

The previous prime is 34002000233. The next prime is 34002000257. The reversal of 34002000234 is 43200020043.

It is a super-2 number, since 2×34002000234² (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 not an unprimeable number, because it can be changed into a prime (34002000233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 838039 + ... + 877674.

It is an arithmetic number, because the mean of its divisors is an integer number (2367685320).

Almost surely, 2^34002000234 is an apocalyptic number.

34002000234 is an abundant number, since it is smaller than the sum of its proper divisors (41763930006).

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

34002000234 is a wasteful number, since it uses less digits than its factorization.

34002000234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1716091 (or 1716085 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 34002000234 its reverse (43200020043), we get a palindrome (77202020277).

The spelling of 34002000234 in words is "thirty-four billion, two million, two hundred thirty-four", and thus it is an aban number.