3131799840 has 432 divisors, whose sum is σ = 12269530728. Its totient is φ = 724598784.

The previous prime is 3131799829. The next prime is 3131799851. The reversal of 3131799840 is 489971313.

3131799840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3131799829) and next prime (3131799851).

It can be written as a sum of positive squares in 12 ways, for example, as 59536656 + 3072263184 = 7716^2 + 55428^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4136742 + ... + 4137498.

Almost surely, 2^3131799840 is an apocalyptic number.

3131799840 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 3131799840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6134765364).

3131799840 is an abundant number, since it is smaller than the sum of its proper divisors (9137730888).

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

3131799840 is a wasteful number, since it uses less digits than its factorization.

3131799840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 3131799840 is about 55962.4860062524. The cubic root of 3131799840 is about 1463.0685197106.

The spelling of 3131799840 in words is "three billion, one hundred thirty-one million, seven hundred ninety-nine thousand, eight hundred forty".