3079029120 has 384 divisors, whose sum is σ = 10822118400. Its totient is φ = 743669760.

The previous prime is 3079029077. The next prime is 3079029133. The reversal of 3079029120 is 219209703.

It is a Cunningham number, because it is equal to 55489²-1.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17201191 + ... + 17201369.

It is an arithmetic number, because the mean of its divisors is an integer number (28182600).

Almost surely, 2^3079029120 is an apocalyptic number.

3079029120 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 3079029120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5411059200).

3079029120 is an abundant number, since it is smaller than the sum of its proper divisors (7743089280).

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

3079029120 is a wasteful number, since it uses less digits than its factorization.

3079029120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 3079029120 is about 55488.9999909892. Note that the first 5 decimals coincide. The cubic root of 3079029120 is about 1454.8043761040.

The spelling of 3079029120 in words is "three billion, seventy-nine million, twenty-nine thousand, one hundred twenty".