368388 has 36 divisors (see below), whose sum is σ = 968240. Its totient is φ = 122472.

The previous prime is 368369. The next prime is 368399. The reversal of 368388 is 883863.

It is a tau number, because it is divible by the number of its divisors (36).

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

Its product of digits (27648) is a multiple of the sum of its prime divisors (384).

It is an unprimeable number.

368388 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 11 ways as a sum of consecutive naturals, for example, 783 + ... + 1161.

2³⁶⁸³⁸⁸ 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 368388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484120).

368388 is an abundant number, since it is smaller than the sum of its proper divisors (599852).

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

368388 is a wasteful number, since it uses less digits than its factorization.

368388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 384 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 368388 is about 606.9497508031. The cubic root of 368388 is about 71.6861337657.

The spelling of 368388 in words is "three hundred sixty-eight thousand, three hundred eighty-eight".