3118920 has 128 divisors (see below), whose sum is σ = 11059200. Its totient is φ = 688896.

The previous prime is 3118909. The next prime is 3118931. The reversal of 3118920 is 298113.

It is an interprime number because it is at equal distance from previous prime (3118909) and next prime (3118931).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39441 + ... + 39519.

It is an arithmetic number, because the mean of its divisors is an integer number (86400).

Almost surely, 2^3118920 is an apocalyptic number.

3118920 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 3118920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5529600).

3118920 is an abundant number, since it is smaller than the sum of its proper divisors (7940280).

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

3118920 is a wasteful number, since it uses less digits than its factorization.

3118920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 3118920 is about 1766.0464320057. The cubic root of 3118920 is about 146.1060092041.

The spelling of 3118920 in words is "three million, one hundred eighteen thousand, nine hundred twenty".