34002200034 has 64 divisors (see below), whose sum is σ = 84346606080. Its totient is φ = 10064068560.

The previous prime is 34002199981. The next prime is 34002200039. The reversal of 34002200034 is 43000220043.

It is a super-2 number, since 2×34002200034² (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 (34002200039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 640072 + ... + 691155.

It is an arithmetic number, because the mean of its divisors is an integer number (1317915720).

Almost surely, 2^34002200034 is an apocalyptic number.

34002200034 is an abundant number, since it is smaller than the sum of its proper divisors (50344406046).

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

34002200034 is a wasteful number, since it uses less digits than its factorization.

34002200034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331292 (or 1331286 counting only the distinct ones).

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

Adding to 34002200034 its reverse (43000220043), we get a palindrome (77002420077).

The spelling of 34002200034 in words is "thirty-four billion, two million, two hundred thousand, thirty-four".