387249166080 has 864 divisors, whose sum is σ = 1621308648960. Its totient is φ = 83452723200.

The previous prime is 387249166061. The next prime is 387249166103. The reversal of 387249166080 is 80661942783.

387249166080 is a `hidden beast` number, since 3 + 8 + 7 + 24 + 9 + 1 + 6 + 608 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 100556155 + ... + 100560005.

It is an arithmetic number, because the mean of its divisors is an integer number (1876514640).

Almost surely, 2^387249166080 is an apocalyptic number.

387249166080 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 387249166080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810654324480).

387249166080 is an abundant number, since it is smaller than the sum of its proper divisors (1234059482880).

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

387249166080 is a wasteful number, since it uses less digits than its factorization.

387249166080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3957 (or 3940 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 387249166080 in words is "three hundred eighty-seven billion, two hundred forty-nine million, one hundred sixty-six thousand, eighty".