368443680 has 192 divisors, whose sum is σ = 1307529216. Its totient is φ = 86400000.

The previous prime is 368443661. The next prime is 368443697. The reversal of 368443680 is 86344863.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162555 + ... + 164805.

It is an arithmetic number, because the mean of its divisors is an integer number (6810048).

Almost surely, 2^368443680 is an apocalyptic number.

368443680 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 368443680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653764608).

368443680 is an abundant number, since it is smaller than the sum of its proper divisors (939085536).

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

368443680 is a wasteful number, since it uses less digits than its factorization.

368443680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311 (or 2303 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 368443680 is about 19194.8868191506. The cubic root of 368443680 is about 716.8974525041.

The spelling of 368443680 in words is "three hundred sixty-eight million, four hundred forty-three thousand, six hundred eighty".