3789315648 has 112 divisors (see below), whose sum is σ = 11157630720. Its totient is φ = 1261094400.

The previous prime is 3789315641. The next prime is 3789315667. The reversal of 3789315648 is 8465139873.

3789315648 is a `hidden beast` number, since 3 + 78 + 9 + 3 + 1 + 564 + 8 = 666.

It is a super-3 number, since 3×3789315648³ (a number of 30 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3789315594 and 3789315603.

It is not an unprimeable number, because it can be changed into a prime (3789315641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1417353 + ... + 1420023.

Almost surely, 2^3789315648 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 3789315648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5578815360).

3789315648 is an abundant number, since it is smaller than the sum of its proper divisors (7368315072).

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

3789315648 is a wasteful number, since it uses less digits than its factorization.

3789315648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3513 (or 3497 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 3789315648 is about 61557.4174896901. The cubic root of 3789315648 is about 1559.0268486812.

The spelling of 3789315648 in words is "three billion, seven hundred eighty-nine million, three hundred fifteen thousand, six hundred forty-eight".