36630000 has 300 divisors, whose sum is σ = 143522808. Its totient is φ = 8640000.

The previous prime is 36629977. The next prime is 36630001. The reversal of 36630000 is 3663.

36630000 is a `hidden beast` number, since 3 + 663 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36630001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 989982 + ... + 990018.

Almost surely, 2^36630000 is an apocalyptic number.

36630000 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 36630000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71761404).

36630000 is an abundant number, since it is smaller than the sum of its proper divisors (106892808).

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

36630000 is a wasteful number, since it uses less digits than its factorization.

36630000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 36630000 is about 6052.2723005496. The cubic root of 36630000 is about 332.1077213712.

Adding to 36630000 its reverse (3663), we get a palindrome (36633663).

Multiplying 36630000 by its reverse (3663), we get a square (134175690000 = 366300²).

36630000 divided by its reverse (3663) gives a 4-th power (10000 = 10⁴).

It can be divided in two parts, 36 and 630000, that added together give a palindrome (630036).

The spelling of 36630000 in words is "thirty-six million, six hundred thirty thousand".