36630720 has 336 divisors, whose sum is σ = 152156160. Its totient is φ = 7907328.

The previous prime is 36630677. The next prime is 36630721. The reversal of 36630720 is 2703663.

36630720 is a `hidden beast` number, since 3 + 6 + 630 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (36630721) 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 47 ways as a sum of consecutive naturals, for example, 463641 + ... + 463719.

Almost surely, 2^36630720 is an apocalyptic number.

36630720 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 36630720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76078080).

36630720 is an abundant number, since it is smaller than the sum of its proper divisors (115525440).

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

36630720 is a wasteful number, since it uses less digits than its factorization.

36630720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 36630720 is about 6052.3317820490. The cubic root of 36630720 is about 332.1098973290.

The spelling of 36630720 in words is "thirty-six million, six hundred thirty thousand, seven hundred twenty".