363666888 has 128 divisors (see below), whose sum is σ = 1104700800. Its totient is φ = 110170368.

The previous prime is 363666887. The next prime is 363666889. The reversal of 363666888 is 888666363.

It is an interprime number because it is at equal distance from previous prime (363666887) and next prime (363666889).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 (363666887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187170 + ... + 189102.

It is an arithmetic number, because the mean of its divisors is an integer number (8630475).

Almost surely, 2^363666888 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 363666888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552350400).

363666888 is an abundant number, since it is smaller than the sum of its proper divisors (741033912).

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

363666888 is a wasteful number, since it uses less digits than its factorization.

363666888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2028 (or 2018 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The square root of 363666888 is about 19070.0521236834. The cubic root of 363666888 is about 713.7858265893.

The spelling of 363666888 in words is "three hundred sixty-three million, six hundred sixty-six thousand, eight hundred eighty-eight".