381602232000 has 1792 divisors, whose sum is σ = 1643286528000. Its totient is φ = 85722624000.

The previous prime is 381602231963. The next prime is 381602232007. The reversal of 381602232000 is 232206183.

381602232000 is a `hidden beast` number, since 38 + 1 + 602 + 2 + 3 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (381602232007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3566375947 + ... + 3566376053.

Almost surely, 2^381602232000 is an apocalyptic number.

381602232000 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 381602232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821643264000).

381602232000 is an abundant number, since it is smaller than the sum of its proper divisors (1261684296000).

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

381602232000 is a wasteful number, since it uses less digits than its factorization.

381602232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 381602232000 its reverse (232206183), we get a palindrome (381834438183).

The spelling of 381602232000 in words is "three hundred eighty-one billion, six hundred two million, two hundred thirty-two thousand".