3138960 has 160 divisors (see below), whose sum is σ = 11249280. Its totient is φ = 716800.

The previous prime is 3138953. The next prime is 3138991. The reversal of 3138960 is 698313.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 76540 + ... + 76580.

It is an arithmetic number, because the mean of its divisors is an integer number (70308).

Almost surely, 2^3138960 is an apocalyptic number.

3138960 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 3138960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624640).

3138960 is an abundant number, since it is smaller than the sum of its proper divisors (8110320).

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

3138960 is a wasteful number, since it uses less digits than its factorization.

3138960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 3138960 is about 1771.7110373873. The cubic root of 3138960 is about 146.4182664060.

The spelling of 3138960 in words is "three million, one hundred thirty-eight thousand, nine hundred sixty".