368055360 has 224 divisors, whose sum is σ = 1331366400. Its totient is φ = 95662080.

The previous prime is 368055353. The next prime is 368055377. The reversal of 368055360 is 63550863.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 353721 + ... + 354759.

It is an arithmetic number, because the mean of its divisors is an integer number (5943600).

Almost surely, 2^368055360 is an apocalyptic number.

368055360 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 368055360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665683200).

368055360 is an abundant number, since it is smaller than the sum of its proper divisors (963311040).

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

368055360 is a wasteful number, since it uses less digits than its factorization.

368055360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 368055360 is about 19184.7689587339. The cubic root of 368055360 is about 716.6455067366.

The spelling of 368055360 in words is "three hundred sixty-eight million, fifty-five thousand, three hundred sixty".