3679983216 has 240 divisors, whose sum is σ = 13085829120. Its totient is φ = 939133440.

The previous prime is 3679983211. The next prime is 3679983221. The reversal of 3679983216 is 6123899763.

It is an interprime number because it is at equal distance from previous prime (3679983211) and next prime (3679983221).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3679983211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 401695 + ... + 410753.

It is an arithmetic number, because the mean of its divisors is an integer number (54524288).

Almost surely, 2^3679983216 is an apocalyptic number.

3679983216 is a gapful number since it is divisible by the number (36) 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 3679983216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6542914560).

3679983216 is an abundant number, since it is smaller than the sum of its proper divisors (9405845904).

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

3679983216 is a wasteful number, since it uses less digits than its factorization.

3679983216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9124 (or 9115 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 3679983216 is about 60662.8652142314. The cubic root of 3679983216 is about 1543.8861787107.

The spelling of 3679983216 in words is "three billion, six hundred seventy-nine million, nine hundred eighty-three thousand, two hundred sixteen".