368682048 has 168 divisors, whose sum is σ = 1228344000. Its totient is φ = 103541760.

The previous prime is 368682037. The next prime is 368682073. The reversal of 368682048 is 840286863.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a junction number, because it is equal to n+sod(n) for n = 368681994 and 368682012.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 245203 + ... + 246701.

Almost surely, 2^368682048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368682048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614172000).

368682048 is an abundant number, since it is smaller than the sum of its proper divisors (859661952).

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

368682048 is a wasteful number, since it uses less digits than its factorization.

368682048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 368682048 is about 19201.0949687772. The cubic root of 368682048 is about 717.0520202916.

The spelling of 368682048 in words is "three hundred sixty-eight million, six hundred eighty-two thousand, forty-eight".