364041104 has 40 divisors (see below), whose sum is σ = 809495808. Its totient is φ = 155358720.

The previous prime is 364041059. The next prime is 364041131. The reversal of 364041104 is 401140463.

It is a self number, because there is not a number n which added to its sum of digits gives 364041104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20249 + ... + 33735.

Almost surely, 2^364041104 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 364041104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404747904).

364041104 is an abundant number, since it is smaller than the sum of its proper divisors (445454704).

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

364041104 is a wasteful number, since it uses less digits than its factorization.

364041104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13743 (or 13737 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 364041104 is about 19079.8612154282. The cubic root of 364041104 is about 714.0305730121.

Adding to 364041104 its reverse (401140463), we get a palindrome (765181567).

It can be divided in two parts, 3640 and 41104, that added together give a palindrome (44744).

The spelling of 364041104 in words is "three hundred sixty-four million, forty-one thousand, one hundred four".