364108416 has 192 divisors, whose sum is σ = 1157683680. Its totient is φ = 101025792.

The previous prime is 364108373. The next prime is 364108417. The reversal of 364108416 is 614801463.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (364108417) 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, 695931 + ... + 696453.

Almost surely, 2^364108416 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 364108416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578841840).

364108416 is an abundant number, since it is smaller than the sum of its proper divisors (793575264).

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

364108416 is a wasteful number, since it uses less digits than its factorization.

364108416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 364108416 is about 19081.6250880264. The cubic root of 364108416 is about 714.0745789072.

Adding to 364108416 its reverse (614801463), we get a palindrome (978909879).

The spelling of 364108416 in words is "three hundred sixty-four million, one hundred eight thousand, four hundred sixteen".