364840320 has 256 divisors, whose sum is σ = 1283143680. Its totient is φ = 87613440.

The previous prime is 364840319. The next prime is 364840321. The reversal of 364840320 is 23048463.

It is an interprime number because it is at equal distance from previous prime (364840319) and next prime (364840321).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364840321) 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 31 ways as a sum of consecutive naturals, for example, 1172965 + ... + 1173275.

It is an arithmetic number, because the mean of its divisors is an integer number (5012280).

Almost surely, 2^364840320 is an apocalyptic number.

364840320 is a gapful number since it is divisible by the number (30) 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 364840320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641571840).

364840320 is an abundant number, since it is smaller than the sum of its proper divisors (918303360).

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

364840320 is a wasteful number, since it uses less digits than its factorization.

364840320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 364840320 is about 19100.7937007864. The cubic root of 364840320 is about 714.5527187701.

Adding to 364840320 its reverse (23048463), we get a palindrome (387888783).

The spelling of 364840320 in words is "three hundred sixty-four million, eight hundred forty thousand, three hundred twenty".