387338112000 has 1232 divisors, whose sum is σ = 1658589970752. Its totient is φ = 88385126400.

The previous prime is 387338111987. The next prime is 387338112013. The reversal of 387338112000 is 211833783.

387338112000 is a `hidden beast` number, since 3 + 8 + 73 + 381 + 1 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (387338111987) and next prime (387338112013).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 653183704 + ... + 653184296.

Almost surely, 2^387338112000 is an apocalyptic number.

387338112000 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 387338112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829294985376).

387338112000 is an abundant number, since it is smaller than the sum of its proper divisors (1271251858752).

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

387338112000 is an frugal number, since it uses more digits than its factorization.

387338112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 387338112000 its reverse (211833783), we get a palindrome (387549945783).

The spelling of 387338112000 in words is "three hundred eighty-seven billion, three hundred thirty-eight million, one hundred twelve thousand".