3072830993136 has 120 divisors (see below), whose sum is σ = 8742606397200. Its totient is φ = 1007258572800.

The previous prime is 3072830993129. The next prime is 3072830993149. The reversal of 3072830993136 is 6313990382703.

3072830993136 is a `hidden beast` number, since 307 + 28 + 309 + 9 + 3 + 1 + 3 + 6 = 666.

It is a super-2 number, since 2×3072830993136² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41432215 + ... + 41506313.

It is an arithmetic number, because the mean of its divisors is an integer number (72855053310).

Almost surely, 2^{3072830993136} is an apocalyptic number.

3072830993136 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 3072830993136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4371303198600).

3072830993136 is an abundant number, since it is smaller than the sum of its proper divisors (5669775404064).

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

3072830993136 is a wasteful number, since it uses less digits than its factorization.

3072830993136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78895 (or 78886 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 3072830993136 in words is "three trillion, seventy-two billion, eight hundred thirty million, nine hundred ninety-three thousand, one hundred thirty-six".