380858688000 has 960 divisors, whose sum is σ = 1595318250240. Its totient is φ = 85524480000.

The previous prime is 380858687969. The next prime is 380858688043. The reversal of 380858688000 is 886858083.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 237887200 + ... + 237888800.

It is an arithmetic number, because the mean of its divisors is an integer number (1661789844).

Almost surely, 2^380858688000 is an apocalyptic number.

380858688000 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 380858688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797659125120).

380858688000 is an abundant number, since it is smaller than the sum of its proper divisors (1214459562240).

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

380858688000 is a wasteful number, since it uses less digits than its factorization.

380858688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 380858688000 in words is "three hundred eighty billion, eight hundred fifty-eight million, six hundred eighty-eight thousand".