34002000 has 120 divisors (see below), whose sum is σ = 118820520. Its totient is φ = 9062400.

The previous prime is 34001999. The next prime is 34002047. The reversal of 34002000 is 20043.

It can be written as a sum of positive squares in 4 ways, for example, as 1648656 + 32353344 = 1284^2 + 5688^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×34002000² = 2312272008000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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, 17056 + ... + 18944.

It is an arithmetic number, because the mean of its divisors is an integer number (990171).

Almost surely, 2^34002000 is an apocalyptic number.

34002000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59410260).

34002000 is an abundant number, since it is smaller than the sum of its proper divisors (84818520).

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

34002000 is a wasteful number, since it uses less digits than its factorization.

34002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 34002000 is about 5831.1233909085. The cubic root of 34002000 is about 323.9675321832.

Adding to 34002000 its reverse (20043), we get a palindrome (34022043).

The spelling of 34002000 in words is "thirty-four million, two thousand", and thus it is an eban number.