387847440000 has 960 divisors, whose sum is σ = 1471886095680. Its totient is φ = 101606400000.

The previous prime is 387847439989. The next prime is 387847440061. The reversal of 387847440000 is 44748783.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1380239860 + ... + 1380240140.

It is an arithmetic number, because the mean of its divisors is an integer number (1533214683).

Almost surely, 2^387847440000 is an apocalyptic number.

387847440000 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 387847440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735943047840).

387847440000 is an abundant number, since it is smaller than the sum of its proper divisors (1084038655680).

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

387847440000 is an frugal number, since it uses more digits than its factorization.

387847440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 387847440000 in words is "three hundred eighty-seven billion, eight hundred forty-seven million, four hundred forty thousand".