3679979337216 has 480 divisors, whose sum is σ = 13480485765120. Its totient is φ = 970539687936.

The previous prime is 3679979337193. The next prime is 3679979337227. The reversal of 3679979337216 is 6127339799763.

3679979337216 is a `hidden beast` number, since 3 + 6 + 7 + 9 + 9 + 79 + 337 + 216 = 666.

3679979337216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16241281 + ... + 16466303.

It is an arithmetic number, because the mean of its divisors is an integer number (28084345344).

Almost surely, 2^{3679979337216} is an apocalyptic number.

3679979337216 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 3679979337216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6740242882560).

3679979337216 is an abundant number, since it is smaller than the sum of its proper divisors (9800506427904).

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

3679979337216 is a wasteful number, since it uses less digits than its factorization.

3679979337216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225083 (or 225048 counting only the distinct ones).

The product of its digits is 486091368, while the sum is 72.

It can be divided in two parts, 3679979 and 337216, that added together give a triangular number (4017195 = T₂₈₃₄).

The spelling of 3679979337216 in words is "three trillion, six hundred seventy-nine billion, nine hundred seventy-nine million, three hundred thirty-seven thousand, two hundred sixteen".