34003000 has 64 divisors (see below), whose sum is σ = 81806400. Its totient is φ = 13219200.

The previous prime is 34002973. The next prime is 34003031. The reversal of 34003000 is 30043.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36541 + ... + 37459.

It is an arithmetic number, because the mean of its divisors is an integer number (1278225).

Almost surely, 2^34003000 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 34003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40903200).

34003000 is an abundant number, since it is smaller than the sum of its proper divisors (47803400).

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

34003000 is a wasteful number, since it uses less digits than its factorization.

34003000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 34003000 is about 5831.2091370487. The cubic root of 34003000 is about 323.9707081175.

Adding to 34003000 its reverse (30043), we get a palindrome (34033043).

It can be divided in two parts, 3400 and 3000, that added together give a square (6400 = 80²).

The spelling of 34003000 in words is "thirty-four million, three thousand".