368686080 has 440 divisors, whose sum is σ = 1521788928. Its totient is φ = 83607552.

The previous prime is 368686037. The next prime is 368686081. The reversal of 368686080 is 80686863.

368686080 is a `hidden beast` number, since 36 + 8 + 6 + 8 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368686081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2902977 + ... + 2903103.

Almost surely, 2^368686080 is an apocalyptic number.

368686080 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 368686080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760894464).

368686080 is an abundant number, since it is smaller than the sum of its proper divisors (1153102848).

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

368686080 is a wasteful number, since it uses less digits than its factorization.

368686080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 368686080 is about 19201.1999625023. The cubic root of 368686080 is about 717.0546342360.

The spelling of 368686080 in words is "three hundred sixty-eight million, six hundred eighty-six thousand, eighty".