369768120 has 128 divisors (see below), whose sum is σ = 1177804800. Its totient is φ = 92606976.

The previous prime is 369768073. The next prime is 369768149. The reversal of 369768120 is 21867963.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 288922 + ... + 290198.

It is an arithmetic number, because the mean of its divisors is an integer number (9201600).

Almost surely, 2^369768120 is an apocalyptic number.

369768120 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 369768120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588902400).

369768120 is an abundant number, since it is smaller than the sum of its proper divisors (808036680).

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

369768120 is a wasteful number, since it uses less digits than its factorization.

369768120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 369768120 is about 19229.3556834336. The cubic root of 369768120 is about 717.7554327746.

It can be divided in two parts, 3697 and 68120, that added together give a palindrome (71817).

The spelling of 369768120 in words is "three hundred sixty-nine million, seven hundred sixty-eight thousand, one hundred twenty".