369732960 has 144 divisors (see below), whose sum is σ = 1275202656. Its totient is φ = 97542144.

The previous prime is 369732953. The next prime is 369733003. The reversal of 369732960 is 69237963.

369732960 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 (144).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138357 + ... + 141003.

It is an arithmetic number, because the mean of its divisors is an integer number (8855574).

Almost surely, 2^369732960 is an apocalyptic number.

369732960 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 369732960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637601328).

369732960 is an abundant number, since it is smaller than the sum of its proper divisors (905469696).

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

369732960 is a wasteful number, since it uses less digits than its factorization.

369732960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2765 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The square root of 369732960 is about 19228.4414345001. The cubic root of 369732960 is about 717.7326824080.

The spelling of 369732960 in words is "three hundred sixty-nine million, seven hundred thirty-two thousand, nine hundred sixty".