1387008000 has 624 divisors, whose sum is σ = 5847194496. Its totient is φ = 309657600.

The previous prime is 1387007981. The next prime is 1387008001. The reversal of 1387008000 is 8007831.

It is not an unprimeable number, because it can be changed into a prime (1387008001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32255979 + ... + 32256021.

It is an arithmetic number, because the mean of its divisors is an integer number (9370504).

Almost surely, 2^1387008000 is an apocalyptic number.

1387008000 is a gapful number since it is divisible by the number (10) 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 1387008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2923597248).

1387008000 is an abundant number, since it is smaller than the sum of its proper divisors (4460186496).

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

1387008000 is an equidigital number, since it uses as much as digits as its factorization.

1387008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1387008000 is about 37242.5563032400. The cubic root of 1387008000 is about 1115.2177043450.

The spelling of 1387008000 in words is "one billion, three hundred eighty-seven million, eight thousand".