34012000 has 96 divisors (see below), whose sum is σ = 91282464. Its totient is φ = 12352000.

The previous prime is 34011961. The next prime is 34012003. The reversal of 34012000 is 21043.

It is a super-2 number, since 2×34012000² = 2313632288000000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34012003) 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, 43614 + ... + 44386.

It is an arithmetic number, because the mean of its divisors is an integer number (950859).

Almost surely, 2^34012000 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 34012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45641232).

34012000 is an abundant number, since it is smaller than the sum of its proper divisors (57270464).

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

34012000 is a wasteful number, since it uses less digits than its factorization.

34012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 34012000 is about 5831.9807955788. The cubic root of 34012000 is about 323.9992887248. Note that the first 3 decimals are identical.

Adding to 34012000 its reverse (21043), we get a palindrome (34033043).

The spelling of 34012000 in words is "thirty-four million, twelve thousand".