368938314 has 80 divisors (see below), whose sum is σ = 883687200. Its totient is φ = 114703776.

The previous prime is 368938289. The next prime is 368938357. The reversal of 368938314 is 413839863.

It is a super-2 number, since 2×368938314² = 272230959074325192, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 368938314.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 205332 + ... + 207120.

It is an arithmetic number, because the mean of its divisors is an integer number (11046090).

Almost surely, 2^368938314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368938314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441843600).

368938314 is an abundant number, since it is smaller than the sum of its proper divisors (514748886).

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

368938314 is a wasteful number, since it uses less digits than its factorization.

368938314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889 (or 1880 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 368938314 is about 19207.7670227437. The cubic root of 368938314 is about 717.2181195949.

The spelling of 368938314 in words is "three hundred sixty-eight million, nine hundred thirty-eight thousand, three hundred fourteen".