365382090 has 72 divisors (see below), whose sum is σ = 986658660. Its totient is φ = 97417728.

The previous prime is 365382079. The next prime is 365382133. The reversal of 365382090 is 90283563.

365382090 is a `hidden beast` number, since 36 + 538 + 2 + 0 + 90 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 344065401 + 21316689 = 18549^2 + 4617^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 62826 + ... + 68394.

Almost surely, 2^365382090 is an apocalyptic number.

365382090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 365382090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493329330).

365382090 is an abundant number, since it is smaller than the sum of its proper divisors (621276570).

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

365382090 is an frugal number, since it uses more digits than its factorization.

365382090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5600 (or 5579 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 365382090 is about 19114.9703112508. The cubic root of 365382090 is about 714.9062357687.

The spelling of 365382090 in words is "three hundred sixty-five million, three hundred eighty-two thousand, ninety".