368378880 has 176 divisors, whose sum is σ = 1220339520. Its totient is φ = 94732288.

The previous prime is 368378873. The next prime is 368378887. The reversal of 368378880 is 88873863.

368378880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (368378873) and next prime (368378887).

It is not an unprimeable number, because it can be changed into a prime (368378887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 445027 + ... + 445853.

Almost surely, 2^368378880 is an apocalyptic number.

368378880 is a gapful number since it is divisible by the number (30) 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 368378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610169760).

368378880 is an abundant number, since it is smaller than the sum of its proper divisors (851960640).

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

368378880 is a wasteful number, since it uses less digits than its factorization.

368378880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The square root of 368378880 is about 19193.1987954067. The cubic root of 368378880 is about 716.8554219477.

The spelling of 368378880 in words is "three hundred sixty-eight million, three hundred seventy-eight thousand, eight hundred eighty".