3879389479680 has 1728 divisors, whose sum is σ = 16515596200320. Its totient is φ = 867129753600.

The previous prime is 3879389479661. The next prime is 3879389479681. The reversal of 3879389479680 is 869749839783.

3879389479680 is a `hidden beast` number, since 3 + 8 + 7 + 9 + 3 + 89 + 479 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×3879389479680² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 3879389479680.

It is not an unprimeable number, because it can be changed into a prime (3879389479681) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4403392840 + ... + 4403393720.

It is an arithmetic number, because the mean of its divisors is an integer number (9557636690).

Almost surely, 2^{3879389479680} is an apocalyptic number.

3879389479680 is a gapful number since it is divisible by the number (30) 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 3879389479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8257798100160).

3879389479680 is an abundant number, since it is smaller than the sum of its proper divisors (12636206720640).

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

3879389479680 is an equidigital number, since it uses as much as digits as its factorization.

3879389479680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 3950456832, while the sum is 81.

The spelling of 3879389479680 in words is "three trillion, eight hundred seventy-nine billion, three hundred eighty-nine million, four hundred seventy-nine thousand, six hundred eighty".