3782315712 has 224 divisors, whose sum is σ = 12209881600. Its totient is φ = 1009262592.

The previous prime is 3782315689. The next prime is 3782315743. The reversal of 3782315712 is 2175132873.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1863114 + ... + 1865142.

It is an arithmetic number, because the mean of its divisors is an integer number (54508400).

Almost surely, 2^3782315712 is an apocalyptic number.

3782315712 is a gapful number since it is divisible by the number (32) 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 3782315712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6104940800).

3782315712 is an abundant number, since it is smaller than the sum of its proper divisors (8427565888).

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

3782315712 is a wasteful number, since it uses less digits than its factorization.

3782315712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2143 (or 2133 counting only the distinct ones).

The product of its digits is 70560, while the sum is 39.

The square root of 3782315712 is about 61500.5342415820. The cubic root of 3782315712 is about 1558.0662693458.

It can be divided in two parts, 37823 and 15712, that added together give a palindrome (53535).

The spelling of 3782315712 in words is "three billion, seven hundred eighty-two million, three hundred fifteen thousand, seven hundred twelve".