3137940 has 120 divisors (see below), whose sum is σ = 10672200. Its totient is φ = 767232.

The previous prime is 3137923. The next prime is 3137941. The reversal of 3137940 is 497313.

It can be written as a sum of positive squares in 4 ways, for example, as 26244 + 3111696 = 162^2 + 1764^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3137941) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20986 + ... + 21134.

It is an arithmetic number, because the mean of its divisors is an integer number (88935).

Almost surely, 2^3137940 is an apocalyptic number.

3137940 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 3137940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5336100).

3137940 is an abundant number, since it is smaller than the sum of its proper divisors (7534260).

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

3137940 is a wasteful number, since it uses less digits than its factorization.

3137940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 3137940 is about 1771.4231566738. The cubic root of 3137940 is about 146.4024052279.

The spelling of 3137940 in words is "three million, one hundred thirty-seven thousand, nine hundred forty".