380884587600 has 480 divisors, whose sum is σ = 1383397171200. Its totient is φ = 88743168000.

The previous prime is 380884587583. The next prime is 380884587679. The reversal of 380884587600 is 6785488083.

It is a happy number.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 60967677 + ... + 60973923.

It is an arithmetic number, because the mean of its divisors is an integer number (2882077440).

Almost surely, 2^380884587600 is an apocalyptic number.

380884587600 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 380884587600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691698585600).

380884587600 is an abundant number, since it is smaller than the sum of its proper divisors (1002512583600).

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

380884587600 is a wasteful number, since it uses less digits than its factorization.

380884587600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6459 (or 6448 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 57.

The spelling of 380884587600 in words is "three hundred eighty billion, eight hundred eighty-four million, five hundred eighty-seven thousand, six hundred".