369360640 has 144 divisors (see below), whose sum is σ = 992648160. Its totient is φ = 130498560.

The previous prime is 369360637. The next prime is 369360643. The reversal of 369360640 is 46063963.

369360640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (369360637) and next prime (369360643).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 369360640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (369360643) 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 15 ways as a sum of consecutive naturals, for example, 520606 + ... + 521314.

It is an arithmetic number, because the mean of its divisors is an integer number (6893390).

Almost surely, 2^369360640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 369360640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496324080).

369360640 is an abundant number, since it is smaller than the sum of its proper divisors (623287520).

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

369360640 is a wasteful number, since it uses less digits than its factorization.

369360640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 37.

The square root of 369360640 is about 19218.7575040636. The cubic root of 369360640 is about 717.4916832634.

The spelling of 369360640 in words is "three hundred sixty-nine million, three hundred sixty thousand, six hundred forty".