364245120 has 256 divisors, whose sum is σ = 1308700800. Its totient is φ = 95735808.

The previous prime is 364245109. The next prime is 364245121. The reversal of 364245120 is 21542463.

364245120 is a `hidden beast` number, since 3 + 642 + 4 + 5 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364245121) 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, 1848862 + ... + 1849058.

Almost surely, 2^364245120 is an apocalyptic number.

364245120 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 364245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654350400).

364245120 is an abundant number, since it is smaller than the sum of its proper divisors (944455680).

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

364245120 is a wasteful number, since it uses less digits than its factorization.

364245120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 364245120 is about 19085.2068367099. The cubic root of 364245120 is about 714.1639338290.

Adding to 364245120 its reverse (21542463), we get a palindrome (385787583).

The spelling of 364245120 in words is "three hundred sixty-four million, two hundred forty-five thousand, one hundred twenty".