3118893120 has 672 divisors, whose sum is σ = 13134441600. Its totient is φ = 694407168.

The previous prime is 3118893017. The next prime is 3118893139. The reversal of 3118893120 is 213988113.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22438011 + ... + 22438149.

It is an arithmetic number, because the mean of its divisors is an integer number (19545300).

Almost surely, 2^3118893120 is an apocalyptic number.

3118893120 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 3118893120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6567220800).

3118893120 is an abundant number, since it is smaller than the sum of its proper divisors (10015548480).

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

3118893120 is a wasteful number, since it uses less digits than its factorization.

3118893120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 3118893120 is about 55847.0511307446. The cubic root of 3118893120 is about 1461.0558947115.

The spelling of 3118893120 in words is "three billion, one hundred eighteen million, eight hundred ninety-three thousand, one hundred twenty".