3311493120 has 336 divisors, whose sum is σ = 12380043312. Its totient is φ = 813957120.

The previous prime is 3311493083. The next prime is 3311493127. The reversal of 3311493120 is 213941133.

3311493120 is a `hidden beast` number, since 331 + 14 + 9 + 312 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3311493127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4791975 + ... + 4792665.

It is an arithmetic number, because the mean of its divisors is an integer number (36845367).

Almost surely, 2^3311493120 is an apocalyptic number.

3311493120 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 3311493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6190021656).

3311493120 is an abundant number, since it is smaller than the sum of its proper divisors (9068550192).

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

3311493120 is a wasteful number, since it uses less digits than its factorization.

3311493120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 3311493120 is about 57545.5742868207. The cubic root of 3311493120 is about 1490.5319362544.

The spelling of 3311493120 in words is "three billion, three hundred eleven million, four hundred ninety-three thousand, one hundred twenty".