363616488 has 48 divisors (see below), whose sum is σ = 990868320. Its totient is φ = 120458016.

The previous prime is 363616481. The next prime is 363616523. The reversal of 363616488 is 884616363.

363616488 is a `hidden beast` number, since 3 + 636 + 1 + 6 + 4 + 8 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (363616481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3756 + ... + 27227.

It is an arithmetic number, because the mean of its divisors is an integer number (20643090).

Almost surely, 2^363616488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 363616488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495434160).

363616488 is an abundant number, since it is smaller than the sum of its proper divisors (627251832).

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

363616488 is a wasteful number, since it uses less digits than its factorization.

363616488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31158 (or 31151 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 363616488 is about 19068.7306342085. The cubic root of 363616488 is about 713.7528509286.

It can be divided in two parts, 36361 and 6488, that added together give a square (42849 = 207²).

The spelling of 363616488 in words is "three hundred sixty-three million, six hundred sixteen thousand, four hundred eighty-eight".