36034000 has 80 divisors (see below), whose sum is σ = 89369280. Its totient is φ = 14044800.

The previous prime is 36033971. The next prime is 36034003. The reversal of 36034000 is 43063.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36034003) 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, 85791 + ... + 86209.

It is an arithmetic number, because the mean of its divisors is an integer number (1117116).

Almost surely, 2^36034000 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 36034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44684640).

36034000 is an abundant number, since it is smaller than the sum of its proper divisors (53335280).

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

36034000 is a wasteful number, since it uses less digits than its factorization.

36034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 36034000 is about 6002.8326646676. The cubic root of 36034000 is about 330.2966417433.

Adding to 36034000 its reverse (43063), we get a palindrome (36077063).

The spelling of 36034000 in words is "thirty-six million, thirty-four thousand", and thus it is an eban number.