3129661920 has 576 divisors, whose sum is σ = 13101129216. Its totient is φ = 609976320.

The previous prime is 3129661879. The next prime is 3129661963. The reversal of 3129661920 is 291669213.

3129661920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10681294 + ... + 10681586.

It is an arithmetic number, because the mean of its divisors is an integer number (22745016).

Almost surely, 2^3129661920 is an apocalyptic number.

3129661920 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 3129661920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6550564608).

3129661920 is an abundant number, since it is smaller than the sum of its proper divisors (9971467296).

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

3129661920 is a wasteful number, since it uses less digits than its factorization.

3129661920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 3129661920 is about 55943.3813779611. The cubic root of 3129661920 is about 1462.7355231764.

The spelling of 3129661920 in words is "three billion, one hundred twenty-nine million, six hundred sixty-one thousand, nine hundred twenty".