387391491648 has 280 divisors, whose sum is σ = 1317104832384. Its totient is φ = 110286489600.

The previous prime is 387391491569. The next prime is 387391491673. The reversal of 387391491648 is 846194193783.

387391491648 is a `hidden beast` number, since 3 + 87 + 3 + 9 + 1 + 491 + 64 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10177933 + ... + 10215923.

Almost surely, 2^387391491648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387391491648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658552416192).

387391491648 is an abundant number, since it is smaller than the sum of its proper divisors (929713340736).

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

387391491648 is a wasteful number, since it uses less digits than its factorization.

387391491648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38303 (or 38284 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The spelling of 387391491648 in words is "three hundred eighty-seven billion, three hundred ninety-one million, four hundred ninety-one thousand, six hundred forty-eight".