369768 has 64 divisors (see below), whose sum is σ = 1105920. Its totient is φ = 100800.

The previous prime is 369751. The next prime is 369791. The reversal of 369768 is 867963.

It is a super-3 number, since 3×369768³ = 151673331996458496, which contains 333 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 369768.

It is an unprimeable number.

369768 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5173 + ... + 5243.

It is an arithmetic number, because the mean of its divisors is an integer number (17280).

2³⁶⁹⁷⁶⁸ 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 369768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552960).

369768 is an abundant number, since it is smaller than the sum of its proper divisors (736152).

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

369768 is a wasteful number, since it uses less digits than its factorization.

369768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 114 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 369768 is about 608.0855203012. The cubic root of 369768 is about 71.7755355131.

The spelling of 369768 in words is "three hundred sixty-nine thousand, seven hundred sixty-eight".