368635680 has 144 divisors (see below), whose sum is σ = 1437718464. Its totient is φ = 84257280.

The previous prime is 368635679. The next prime is 368635753. The reversal of 368635680 is 86536863.

368635680 is a `hidden beast` number, since 3 + 6 + 8 + 635 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8206 + ... + 28365.

It is an arithmetic number, because the mean of its divisors is an integer number (9984156).

Almost surely, 2^368635680 is an apocalyptic number.

368635680 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 368635680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718859232).

368635680 is an abundant number, since it is smaller than the sum of its proper divisors (1069082784).

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

368635680 is a wasteful number, since it uses less digits than its factorization.

368635680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36599 (or 36588 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 368635680 is about 19199.8874996704. The cubic root of 368635680 is about 717.0219585602.

The spelling of 368635680 in words is "three hundred sixty-eight million, six hundred thirty-five thousand, six hundred eighty".