387242733316320 has 768 divisors, whose sum is σ = 1642152418099200. Its totient is φ = 83342307041280.

The previous prime is 387242733316217. The next prime is 387242733316409. The reversal of 387242733316320 is 23613337242783.

387242733316320 is a `hidden beast` number, since 3 + 8 + 7 + 2 + 4 + 273 + 33 + 16 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29103046 + ... + 40267514.

It is an arithmetic number, because the mean of its divisors is an integer number (2138219294400).

Almost surely, 2^{387242733316320} is an apocalyptic number.

387242733316320 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 387242733316320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821076209049600).

387242733316320 is an abundant number, since it is smaller than the sum of its proper divisors (1254909684782880).

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

387242733316320 is a wasteful number, since it uses less digits than its factorization.

387242733316320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11164568 (or 11164554 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 54.

The spelling of 387242733316320 in words is "three hundred eighty-seven trillion, two hundred forty-two billion, seven hundred thirty-three million, three hundred sixteen thousand, three hundred twenty".