3118489920 has 672 divisors, whose sum is σ = 13464552192. Its totient is φ = 644972544.

The previous prime is 3118489883. The next prime is 3118489943. The reversal of 3118489920 is 299848113.

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

It is a super-2 number, since 2×3118489920² = 19449958762283212800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19131759 + ... + 19131921.

It is an arithmetic number, because the mean of its divisors is an integer number (20036536).

Almost surely, 2^3118489920 is an apocalyptic number.

3118489920 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 3118489920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6732276096).

3118489920 is an abundant number, since it is smaller than the sum of its proper divisors (10346062272).

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

3118489920 is a wasteful number, since it uses less digits than its factorization.

3118489920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 3118489920 is about 55843.4411547140. The cubic root of 3118489920 is about 1460.9929318695.

It can be divided in two parts, 31184 and 89920, that added together give a square (121104 = 348²).

The spelling of 3118489920 in words is "three billion, one hundred eighteen million, four hundred eighty-nine thousand, nine hundred twenty".