34452000 has 384 divisors, whose sum is σ = 141523200. Its totient is φ = 8064000.

The previous prime is 34451983. The next prime is 34452001. The reversal of 34452000 is 25443.

It is a happy number.

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 (34452001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1187986 + ... + 1188014.

It is an arithmetic number, because the mean of its divisors is an integer number (368550).

Almost surely, 2^34452000 is an apocalyptic number.

34452000 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 34452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70761600).

34452000 is an abundant number, since it is smaller than the sum of its proper divisors (107071200).

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

34452000 is a wasteful number, since it uses less digits than its factorization.

34452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 34452000 is about 5869.5826086699. The cubic root of 34452000 is about 325.3904577346.

Adding to 34452000 its reverse (25443), we get a palindrome (34477443).

It can be divided in two parts, 3445 and 2000, that added together give a palindrome (5445).

The spelling of 34452000 in words is "thirty-four million, four hundred fifty-two thousand".