36225630 has 80 divisors (see below), whose sum is σ = 111339360. Its totient is φ = 8278848.

The previous prime is 36225619. The next prime is 36225649. The reversal of 36225630 is 3652263.

36225630 is a `hidden beast` number, since 3 + 6 + 2 + 25 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 36225594 and 36225603.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 2476 + ... + 8864.

It is an arithmetic number, because the mean of its divisors is an integer number (1391742).

Almost surely, 2^36225630 is an apocalyptic number.

36225630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36225630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55669680).

36225630 is an abundant number, since it is smaller than the sum of its proper divisors (75113730).

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

36225630 is a wasteful number, since it uses less digits than its factorization.

36225630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6415 (or 6406 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 36225630 is about 6018.7731307967. The cubic root of 36225630 is about 330.8811163562.

Adding to 36225630 its reverse (3652263), we get a palindrome (39877893).

The spelling of 36225630 in words is "thirty-six million, two hundred twenty-five thousand, six hundred thirty".