368082000 has 540 divisors, whose sum is σ = 1530144252. Its totient is φ = 82368000.

The previous prime is 368081999. The next prime is 368082023. The reversal of 368082000 is 280863.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 259338816 + 108743184 = 16104^2 + 10428^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 28313994 + ... + 28314006.

Almost surely, 2^368082000 is an apocalyptic number.

368082000 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 368082000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765072126).

368082000 is an abundant number, since it is smaller than the sum of its proper divisors (1162062252).

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

368082000 is a wasteful number, since it uses less digits than its factorization.

368082000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 368082000 is about 19185.4632469482. The cubic root of 368082000 is about 716.6627966860.

The spelling of 368082000 in words is "three hundred sixty-eight million, eighty-two thousand".