365967360 has 432 divisors, whose sum is σ = 1460342520. Its totient is φ = 84049920.

The previous prime is 365967331. The next prime is 365967361. The reversal of 365967360 is 63769563.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (365967361) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19261431 + ... + 19261449.

Almost surely, 2^365967360 is an apocalyptic number.

365967360 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 365967360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730171260).

365967360 is an abundant number, since it is smaller than the sum of its proper divisors (1094375160).

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

365967360 is a wasteful number, since it uses less digits than its factorization.

365967360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The square root of 365967360 is about 19130.2733906236. The cubic root of 365967360 is about 715.2877450413.

It can be divided in two parts, 36596 and 7360, that added together give a triangular number (43956 = T₂₉₆).

The spelling of 365967360 in words is "three hundred sixty-five million, nine hundred sixty-seven thousand, three hundred sixty".