3105088992 has 144 divisors (see below), whose sum is σ = 9209032560. Its totient is φ = 1029169152.

The previous prime is 3105088979. The next prime is 3105089021. The reversal of 3105088992 is 2998805013.

It is a happy number.

3105088992 is digitally balanced in base 2 and base 4, because in such bases 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 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, 1499734 + ... + 1501802.

It is an arithmetic number, because the mean of its divisors is an integer number (63951615).

Almost surely, 2^3105088992 is an apocalyptic number.

3105088992 is a gapful number since it is divisible by the number (32) 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 3105088992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4604516280).

3105088992 is an abundant number, since it is smaller than the sum of its proper divisors (6103943568).

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

3105088992 is a wasteful number, since it uses less digits than its factorization.

3105088992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2287 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 3105088992 is about 55723.3253853357. The cubic root of 3105088992 is about 1458.8971768159.

The spelling of 3105088992 in words is "three billion, one hundred five million, eighty-eight thousand, nine hundred ninety-two".