3093983136 has 144 divisors (see below), whose sum is σ = 9586946880. Its totient is φ = 970583040.

The previous prime is 3093983129. The next prime is 3093983149. The reversal of 3093983136 is 6313893903.

3093983136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 3093983091 and 3093983100.

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, 243501 + ... + 255891.

It is an arithmetic number, because the mean of its divisors is an integer number (66576020).

Almost surely, 2^3093983136 is an apocalyptic number.

3093983136 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 3093983136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4793473440).

3093983136 is an abundant number, since it is smaller than the sum of its proper divisors (6492963744).

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

3093983136 is a wasteful number, since it uses less digits than its factorization.

3093983136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12444 (or 12413 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The square root of 3093983136 is about 55623.5843505253. The cubic root of 3093983136 is about 1457.1557713141.

The spelling of 3093983136 in words is "three billion, ninety-three million, nine hundred eighty-three thousand, one hundred thirty-six".