368916768 has 288 divisors, whose sum is σ = 1254839040. Its totient is φ = 105442560.

The previous prime is 368916739. The next prime is 368916797. The reversal of 368916768 is 867619863.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (368916739) and next prime (368916797).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1625071 + ... + 1625297.

It is an arithmetic number, because the mean of its divisors is an integer number (4357080).

Almost surely, 2^368916768 is an apocalyptic number.

368916768 is a gapful number since it is divisible by the number (38) 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 368916768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627419520).

368916768 is an abundant number, since it is smaller than the sum of its proper divisors (885922272).

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

368916768 is a wasteful number, since it uses less digits than its factorization.

368916768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 262 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 368916768 is about 19207.2061476936. The cubic root of 368916768 is about 717.2041574755.

The spelling of 368916768 in words is "three hundred sixty-eight million, nine hundred sixteen thousand, seven hundred sixty-eight".