368109252 has 192 divisors, whose sum is σ = 1144012800. Its totient is φ = 100154880.

The previous prime is 368109223. The next prime is 368109299. The reversal of 368109252 is 252901863.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2648199 + ... + 2648337.

It is an arithmetic number, because the mean of its divisors is an integer number (5958400).

Almost surely, 2^368109252 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 368109252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572006400).

368109252 is an abundant number, since it is smaller than the sum of its proper divisors (775903548).

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

368109252 is a wasteful number, since it uses less digits than its factorization.

368109252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 368109252 is about 19186.1734590303. The cubic root of 368109252 is about 716.6804829738.

The spelling of 368109252 in words is "three hundred sixty-eight million, one hundred nine thousand, two hundred fifty-two".