364893984 has 540 divisors, whose sum is σ = 1431279234. Its totient is φ = 90574848.

The previous prime is 364893961. The next prime is 364893989. The reversal of 364893984 is 489398463.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 236298384 + 128595600 = 15372^2 + 11340^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 364893984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364893989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 21464344 + ... + 21464360.

Almost surely, 2^364893984 is an apocalyptic number.

364893984 is a gapful number since it is divisible by the number (34) 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 364893984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715639617).

364893984 is an abundant number, since it is smaller than the sum of its proper divisors (1066385250).

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

364893984 is a wasteful number, since it uses less digits than its factorization.

364893984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 42 counting only the distinct ones).

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

The square root of 364893984 is about 19102.1984075132. The cubic root of 364893984 is about 714.5877513355.

The spelling of 364893984 in words is "three hundred sixty-four million, eight hundred ninety-three thousand, nine hundred eighty-four".