364078336 has 36 divisors (see below), whose sum is σ = 733982004. Its totient is φ = 180224000.

The previous prime is 364078333. The next prime is 364078343. The reversal of 364078336 is 633870463.

364078336 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 329785600 + 34292736 = 18160^2 + 5856^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364078333) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18816 + ... + 32896.

It is an arithmetic number, because the mean of its divisors is an integer number (20388389).

Almost surely, 2^364078336 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 364078336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366991002).

364078336 is an abundant number, since it is smaller than the sum of its proper divisors (369903668).

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

364078336 is a wasteful number, since it uses less digits than its factorization.

364078336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14198 (or 14184 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 40.

The square root of 364078336 is about 19080.8368789212. The cubic root of 364078336 is about 714.0549144759.

The spelling of 364078336 in words is "three hundred sixty-four million, seventy-eight thousand, three hundred thirty-six".