380251332000 has 1152 divisors, whose sum is σ = 1491465830400. Its totient is φ = 91383552000.

The previous prime is 380251331989. The next prime is 380251332011. The reversal of 380251332000 is 233152083.

380251332000 is a `hidden beast` number, since 3 + 80 + 251 + 332 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (380251331989) and next prime (380251332011).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 1675115887 + ... + 1675116113.

It is an arithmetic number, because the mean of its divisors is an integer number (1294675200).

Almost surely, 2^380251332000 is an apocalyptic number.

380251332000 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 380251332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745732915200).

380251332000 is an abundant number, since it is smaller than the sum of its proper divisors (1111214498400).

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

380251332000 is a wasteful number, since it uses less digits than its factorization.

380251332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 380251332000 its reverse (233152083), we get a palindrome (380484484083).

The spelling of 380251332000 in words is "three hundred eighty billion, two hundred fifty-one million, three hundred thirty-two thousand".