387073111104 has 105 divisors (see below), whose sum is σ = 1147538761941. Its totient is φ = 129009438720.

The previous prime is 387073111093. The next prime is 387073111109. The reversal of 387073111104 is 401111370783.

The square root of 387073111104 is 622152.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10764477504 + 376308633600 = 103752^2 + 613440^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (387073111109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 44790624 + ... + 44799264.

Almost surely, 2^387073111104 is an apocalyptic number.

387073111104 is the 622152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387073111104

387073111104 is an abundant number, since it is smaller than the sum of its proper divisors (760465650837).

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

387073111104 is an frugal number, since it uses more digits than its factorization.

387073111104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17306 (or 8646 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

Multiplying 387073111104 by its sum of digits (36), we get a square (13934631999744 = 3732912²).

387073111104 divided by its sum of digits (36) gives a square (10752030864 = 103692²).

Adding to 387073111104 its reverse (401111370783), we get a palindrome (788184481887).

The spelling of 387073111104 in words is "three hundred eighty-seven billion, seventy-three million, one hundred eleven thousand, one hundred four".