3131609040 has 320 divisors, whose sum is σ = 12484677120. Its totient is φ = 715516416.

The previous prime is 3131609029. The next prime is 3131609087. The reversal of 3131609040 is 409061313.

3131609040 is a `hidden beast` number, since 3 + 13 + 1 + 609 + 0 + 40 = 666.

3131609040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 3131608995 and 3131609013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1223442 + ... + 1225998.

It is an arithmetic number, because the mean of its divisors is an integer number (39014616).

Almost surely, 2^3131609040 is an apocalyptic number.

3131609040 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 3131609040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6242338560).

3131609040 is an abundant number, since it is smaller than the sum of its proper divisors (9353068080).

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

3131609040 is an equidigital number, since it uses as much as digits as its factorization.

3131609040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2598 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 3131609040 is about 55960.7812668837. The cubic root of 3131609040 is about 1463.0388073879.

It can be divided in two parts, 3131 and 609040, that added together give a triangular number (612171 = T₁₁₀₆).

The spelling of 3131609040 in words is "three billion, one hundred thirty-one million, six hundred nine thousand, forty".