36042000 has 80 divisors (see below), whose sum is σ = 116218752. Its totient is φ = 9609600.

The previous prime is 36041981. The next prime is 36042001. The reversal of 36042000 is 24063.

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 (15).

It is not an unprimeable number, because it can be changed into a prime (36042001) 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, 2997 + ... + 9003.

Almost surely, 2^36042000 is an apocalyptic number.

36042000 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 36042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58109376).

36042000 is an abundant number, since it is smaller than the sum of its proper divisors (80176752).

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

36042000 is a wasteful number, since it uses less digits than its factorization.

36042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6033 (or 6017 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 36042000 is about 6003.4989797617. The cubic root of 36042000 is about 330.3210832672.

Adding to 36042000 its reverse (24063), we get a palindrome (36066063).

The spelling of 36042000 in words is "thirty-six million, forty-two thousand", and thus it is an eban number.