369387360 has 288 divisors, whose sum is σ = 1386927360. Its totient is φ = 89109504.

The previous prime is 369387313. The next prime is 369387463. The reversal of 369387360 is 63783963.

It is a happy number.

369387360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 628987 + ... + 629573.

It is an arithmetic number, because the mean of its divisors is an integer number (4815720).

Almost surely, 2^369387360 is an apocalyptic number.

369387360 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 369387360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693463680).

369387360 is an abundant number, since it is smaller than the sum of its proper divisors (1017540000).

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

369387360 is a wasteful number, since it uses less digits than its factorization.

369387360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 369387360 is about 19219.4526456921. The cubic root of 369387360 is about 717.5089842546.

The spelling of 369387360 in words is "three hundred sixty-nine million, three hundred eighty-seven thousand, three hundred sixty".