388084851000 has 1152 divisors, whose sum is σ = 1726837781760. Its totient is φ = 80613792000.

The previous prime is 388084850977. The next prime is 388084851013. The reversal of 388084851000 is 158480883.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 287 ways as a sum of consecutive naturals, for example, 130975519 + ... + 130978481.

It is an arithmetic number, because the mean of its divisors is an integer number (1498991130).

Almost surely, 2^388084851000 is an apocalyptic number.

388084851000 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 388084851000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863418890880).

388084851000 is an abundant number, since it is smaller than the sum of its proper divisors (1338752930760).

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

388084851000 is a wasteful number, since it uses less digits than its factorization.

388084851000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3024 (or 2991 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 388084851000 in words is "three hundred eighty-eight billion, eighty-four million, eight hundred fifty-one thousand".