3131856144 has 160 divisors (see below), whose sum is σ = 9675809280. Its totient is φ = 966297600.

The previous prime is 3131856103. The next prime is 3131856149. The reversal of 3131856144 is 4416581313.

3131856144 is a `hidden beast` number, since 3 + 1 + 31 + 8 + 5 + 614 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3131856099 and 3131856108.

It is not an unprimeable number, because it can be changed into a prime (3131856149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 444489 + ... + 451479.

It is an arithmetic number, because the mean of its divisors is an integer number (60473808).

Almost surely, 2^3131856144 is an apocalyptic number.

3131856144 is a gapful number since it is divisible by the number (34) 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 3131856144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4837904640).

3131856144 is an abundant number, since it is smaller than the sum of its proper divisors (6543953136).

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

3131856144 is a wasteful number, since it uses less digits than its factorization.

3131856144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7086 (or 7074 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 3131856144 is about 55962.9890552676. The cubic root of 3131856144 is about 1463.0772874183.

The spelling of 3131856144 in words is "three billion, one hundred thirty-one million, eight hundred fifty-six thousand, one hundred forty-four".