3131820384 has 384 divisors, whose sum is σ = 10776084480. Its totient is φ = 772761600.

The previous prime is 3131820379. The next prime is 3131820413. The reversal of 3131820384 is 4830281313.

3131820384 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 (33).

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, 18102922 + ... + 18103094.

It is an arithmetic number, because the mean of its divisors is an integer number (28062720).

Almost surely, 2^3131820384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3131820384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5388042240).

3131820384 is an abundant number, since it is smaller than the sum of its proper divisors (7644264096).

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

3131820384 is a wasteful number, since it uses less digits than its factorization.

3131820384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 3131820384 is about 55962.6695574827. The cubic root of 3131820384 is about 1463.0717188523.

The spelling of 3131820384 in words is "three billion, one hundred thirty-one million, eight hundred twenty thousand, three hundred eighty-four".