369912960 has 128 divisors (see below), whose sum is σ = 1310169600. Its totient is φ = 98638848.

The previous prime is 369912943. The next prime is 369912971. The reversal of 369912960 is 69219963.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6577 + ... + 27983.

It is an arithmetic number, because the mean of its divisors is an integer number (10235700).

Almost surely, 2^369912960 is an apocalyptic number.

369912960 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 369912960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655084800).

369912960 is an abundant number, since it is smaller than the sum of its proper divisors (940256640).

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

369912960 is a wasteful number, since it uses less digits than its factorization.

369912960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21435 (or 21417 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 369912960 is about 19233.1214315306. The cubic root of 369912960 is about 717.8491366577.

The spelling of 369912960 in words is "three hundred sixty-nine million, nine hundred twelve thousand, nine hundred sixty".