34536000 has 112 divisors (see below), whose sum is σ = 114117120. Its totient is φ = 9203200.

The previous prime is 34535971. The next prime is 34536001. The reversal of 34536000 is 63543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34536001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23281 + ... + 24719.

Almost surely, 2^34536000 is an apocalyptic number.

34536000 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 34536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57058560).

34536000 is an abundant number, since it is smaller than the sum of its proper divisors (79581120).

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

34536000 is a wasteful number, since it uses less digits than its factorization.

34536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 34536000 is about 5876.7337867220. The cubic root of 34536000 is about 325.6546960415.

Adding to 34536000 its reverse (63543), we get a palindrome (34599543).

It can be divided in two parts, 3453 and 6000, that added together give a triangular number (9453 = T₁₃₇).

The spelling of 34536000 in words is "thirty-four million, five hundred thirty-six thousand".