363416064 has 160 divisors (see below), whose sum is σ = 1070663616. Its totient is φ = 108625920.

The previous prime is 363416063. The next prime is 363416093. The reversal of 363416064 is 460614363.

363416064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (363416063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2314674 + ... + 2314830.

Almost surely, 2^363416064 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 363416064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535331808).

363416064 is an abundant number, since it is smaller than the sum of its proper divisors (707247552).

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

363416064 is a wasteful number, since it uses less digits than its factorization.

363416064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 363416064 is about 19063.4746045940. The cubic root of 363416064 is about 713.6216875577.

The spelling of 363416064 in words is "three hundred sixty-three million, four hundred sixteen thousand, sixty-four".