3681717312 has 168 divisors, whose sum is σ = 12203679936. Its totient is φ = 970970112.

The previous prime is 3681717271. The next prime is 3681717331. The reversal of 3681717312 is 2137171863.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107253 + ... + 137355.

It is an arithmetic number, because the mean of its divisors is an integer number (72640952).

Almost surely, 2^3681717312 is an apocalyptic number.

3681717312 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 3681717312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6101839968).

3681717312 is an abundant number, since it is smaller than the sum of its proper divisors (8521962624).

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

3681717312 is a wasteful number, since it uses less digits than its factorization.

3681717312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30145 (or 30128 counting only the distinct ones).

The product of its digits is 42336, while the sum is 39.

The square root of 3681717312 is about 60677.1564264510. The cubic root of 3681717312 is about 1544.1286459786.

The spelling of 3681717312 in words is "three billion, six hundred eighty-one million, seven hundred seventeen thousand, three hundred twelve".