3129505641 has 24 divisors (see below), whose sum is σ = 4550000000. Its totient is φ = 2072708352.

The previous prime is 3129505619. The next prime is 3129505663. The reversal of 3129505641 is 1465059213.

3129505641 is a `hidden beast` number, since 3 + 1 + 2 + 9 + 5 + 0 + 5 + 641 = 666.

It is an interprime number because it is at equal distance from previous prime (3129505619) and next prime (3129505663).

It is not a de Polignac number, because 3129505641 - 2²⁷ = 2995287913 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3129505596 and 3129505605.

It is not an unprimeable number, because it can be changed into a prime (3129505241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2236260 + ... + 2237658.

Almost surely, 2^3129505641 is an apocalyptic number.

It is an amenable number.

3129505641 is a deficient number, since it is larger than the sum of its proper divisors (1420494359).

3129505641 is a wasteful number, since it uses less digits than its factorization.

3129505641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2853 (or 2850 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 3129505641 is about 55941.9846001194. The cubic root of 3129505641 is about 1462.7111756424.

The spelling of 3129505641 in words is "three billion, one hundred twenty-nine million, five hundred five thousand, six hundred forty-one".