3879308403216 has 135 divisors (see below), whose sum is σ = 11275522087791. Its totient is φ = 1292890084704.

The previous prime is 3879308403211. The next prime is 3879308403221. The reversal of 3879308403216 is 6123048039783.

The square root of 3879308403216 is 1969596.

It is a perfect power (a square), and thus also a powerful number.

3879308403216 is a `hidden beast` number, since 3 + 8 + 7 + 9 + 308 + 4 + 0 + 321 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (3879308403211) and next prime (3879308403221).

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

It is not an unprimeable number, because it can be changed into a prime (3879308403211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 638146065 + ... + 638152143.

Almost surely, 2^{3879308403216} is an apocalyptic number.

3879308403216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3879308403216 is the 1969596-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3879308403216

3879308403216 is an abundant number, since it is smaller than the sum of its proper divisors (7396213684575).

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

3879308403216 is an frugal number, since it uses more digits than its factorization.

3879308403216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12190 (or 6084 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 3879308403216 in words is "three trillion, eight hundred seventy-nine billion, three hundred eight million, four hundred three thousand, two hundred sixteen".