364347648 has 432 divisors, whose sum is σ = 1339228800. Its totient is φ = 92897280.

The previous prime is 364347631. The next prime is 364347649. The reversal of 364347648 is 846743463.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (364347649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8886508 + ... + 8886548.

Almost surely, 2^364347648 is an apocalyptic number.

364347648 is a gapful number since it is divisible by the number (38) 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 364347648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669614400).

364347648 is an abundant number, since it is smaller than the sum of its proper divisors (974881152).

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

364347648 is a wasteful number, since it uses less digits than its factorization.

364347648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 101 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The square root of 364347648 is about 19087.8927071586. The cubic root of 364347648 is about 714.2309353496.

The spelling of 364347648 in words is "three hundred sixty-four million, three hundred forty-seven thousand, six hundred forty-eight".