368813376 has 84 divisors (see below), whose sum is σ = 1061764704. Its totient is φ = 122400000.

The previous prime is 368813363. The next prime is 368813377. The reversal of 368813376 is 673318863.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368813377) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143301 + ... + 145851.

It is an arithmetic number, because the mean of its divisors is an integer number (12640056).

Almost surely, 2^368813376 is an apocalyptic number.

368813376 is a gapful number since it is divisible by the number (36) 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 368813376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530882352).

368813376 is an abundant number, since it is smaller than the sum of its proper divisors (692951328).

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

368813376 is a wasteful number, since it uses less digits than its factorization.

368813376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2820 (or 2807 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 368813376 is about 19204.5144692596. The cubic root of 368813376 is about 717.1371504004.

The spelling of 368813376 in words is "three hundred sixty-eight million, eight hundred thirteen thousand, three hundred seventy-six".