364275360 has 384 divisors, whose sum is σ = 1365154560. Its totient is φ = 90574848.

The previous prime is 364275319. The next prime is 364275367. The reversal of 364275360 is 63572463.

364275360 is a `hidden beast` number, since 3 + 642 + 7 + 5 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364275367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6873094 + ... + 6873146.

It is an arithmetic number, because the mean of its divisors is an integer number (3555090).

Almost surely, 2^364275360 is an apocalyptic number.

364275360 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 364275360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682577280).

364275360 is an abundant number, since it is smaller than the sum of its proper divisors (1000879200).

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

364275360 is a wasteful number, since it uses less digits than its factorization.

364275360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 364275360 is about 19085.9990569003. Note that the first 3 decimals coincide. The cubic root of 364275360 is about 714.1836968206.

Adding to 364275360 its sum of digits (36), we get a square (364275396 = 19086²).

The spelling of 364275360 in words is "three hundred sixty-four million, two hundred seventy-five thousand, three hundred sixty".