364983984 has 120 divisors (see below), whose sum is σ = 1067202032. Its totient is φ = 116328960.

The previous prime is 364983961. The next prime is 364983989. The reversal of 364983984 is 489389463.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 364983984.

It is not an unprimeable number, because it can be changed into a prime (364983989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324447 + ... + 325569.

Almost surely, 2^364983984 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 364983984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533601016).

364983984 is an abundant number, since it is smaller than the sum of its proper divisors (702218048).

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

364983984 is a wasteful number, since it uses less digits than its factorization.

364983984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1226 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 364983984 is about 19104.5540120674. The cubic root of 364983984 is about 714.6464968102.

The spelling of 364983984 in words is "three hundred sixty-four million, nine hundred eighty-three thousand, nine hundred eighty-four".