363886416 has 120 divisors (see below), whose sum is σ = 1054828320. Its totient is φ = 117013248.

The previous prime is 363886409. The next prime is 363886417. The reversal of 363886416 is 614688363.

363886416 is a `hidden beast` number, since 3 + 638 + 8 + 6 + 4 + 1 + 6 = 666.

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 (363886417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 868255 + ... + 868673.

It is an arithmetic number, because the mean of its divisors is an integer number (8790236).

Almost surely, 2^363886416 is an apocalyptic number.

363886416 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 363886416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527414160).

363886416 is an abundant number, since it is smaller than the sum of its proper divisors (690941904).

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

363886416 is a wasteful number, since it uses less digits than its factorization.

363886416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 624 counting only the distinct ones).

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

The square root of 363886416 is about 19075.8070864643. The cubic root of 363886416 is about 713.9294236198.

The spelling of 363886416 in words is "three hundred sixty-three million, eight hundred eighty-six thousand, four hundred sixteen".