369768960 has 240 divisors, whose sum is σ = 1397990880. Its totient is φ = 89579520.

The previous prime is 369768929. The next prime is 369768967. The reversal of 369768960 is 69867963.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×369768960³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 369768897 and 369768906.

It is not an unprimeable number, because it can be changed into a prime (369768967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252711 + ... + 254169.

It is an arithmetic number, because the mean of its divisors is an integer number (5824962).

Almost surely, 2^369768960 is an apocalyptic number.

369768960 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 369768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698995440).

369768960 is an abundant number, since it is smaller than the sum of its proper divisors (1028221920).

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

369768960 is a wasteful number, since it uses less digits than its factorization.

369768960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 369768960 is about 19229.3775250266. The cubic root of 369768960 is about 717.7559762811.

The spelling of 369768960 in words is "three hundred sixty-nine million, seven hundred sixty-eight thousand, nine hundred sixty".