363486816 has 288 divisors, whose sum is σ = 1326544128. Its totient is φ = 91653120.

The previous prime is 363486793. The next prime is 363486817. The reversal of 363486816 is 618684363.

363486816 is a `hidden beast` number, since 3 + 634 + 8 + 6 + 8 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363486817) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 820291 + ... + 820733.

It is an arithmetic number, because the mean of its divisors is an integer number (4606056).

Almost surely, 2^363486816 is an apocalyptic number.

363486816 is a gapful number since it is divisible by the number (36) 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 363486816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663272064).

363486816 is an abundant number, since it is smaller than the sum of its proper divisors (963057312).

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

363486816 is a wasteful number, since it uses less digits than its factorization.

363486816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 503 counting only the distinct ones).

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

The square root of 363486816 is about 19065.3302095715. The cubic root of 363486816 is about 713.6679952570.

The spelling of 363486816 in words is "three hundred sixty-three million, four hundred eighty-six thousand, eight hundred sixteen".