363132900 has 216 divisors, whose sum is σ = 1257330984. Its totient is φ = 87091200.

The previous prime is 363132881. The next prime is 363132907. The reversal of 363132900 is 9231363.

363132900 is a `hidden beast` number, since 3 + 631 + 3 + 29 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 241118784 + 122014116 = 15528^2 + 11046^2 .

It is not an unprimeable number, because it can be changed into a prime (363132907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 479322 + ... + 480078.

Almost surely, 2^363132900 is an apocalyptic number.

363132900 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 363132900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628665492).

363132900 is an abundant number, since it is smaller than the sum of its proper divisors (894198084).

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

363132900 is a wasteful number, since it uses less digits than its factorization.

363132900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 363132900 is about 19056.0462845786. The cubic root of 363132900 is about 713.4362944713.

It can be divided in two parts, 36 and 3132900, that multiplied together give a square (112784400 = 10620²).

The spelling of 363132900 in words is "three hundred sixty-three million, one hundred thirty-two thousand, nine hundred".