365115648 has 72 divisors (see below), whose sum is σ = 977032000. Its totient is φ = 121042944.

The previous prime is 365115637. The next prime is 365115649. The reversal of 365115648 is 846511563.

It is a super-3 number, since 3×365115648³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (365115649) 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 7 ways as a sum of consecutive naturals, for example, 151638 + ... + 154026.

Almost surely, 2^365115648 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 365115648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488516000).

365115648 is an abundant number, since it is smaller than the sum of its proper divisors (611916352).

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

365115648 is a wasteful number, since it uses less digits than its factorization.

365115648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2607 (or 2593 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 365115648 is about 19107.9995813272. Note that the first 3 decimals coincide. The cubic root of 365115648 is about 714.7324201277.

The spelling of 365115648 in words is "three hundred sixty-five million, one hundred fifteen thousand, six hundred forty-eight".