3079681994880 has 768 divisors, whose sum is σ = 11203982899200. Its totient is φ = 778479206400.

The previous prime is 3079681994861. The next prime is 3079681994897. The reversal of 3079681994880 is 884991869703.

3079681994880 is a `hidden beast` number, since 3 + 0 + 79 + 68 + 19 + 9 + 488 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3079681994799 and 3079681994808.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3670657501 + ... + 3670658339.

It is an arithmetic number, because the mean of its divisors is an integer number (14588519400).

Almost surely, 2^{3079681994880} is an apocalyptic number.

3079681994880 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 3079681994880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5601991449600).

3079681994880 is an abundant number, since it is smaller than the sum of its proper divisors (8124300904320).

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

3079681994880 is a wasteful number, since it uses less digits than its factorization.

3079681994880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 72.

The spelling of 3079681994880 in words is "three trillion, seventy-nine billion, six hundred eighty-one million, nine hundred ninety-four thousand, eight hundred eighty".