3085742952 has 160 divisors (see below), whose sum is σ = 8998624800. Its totient is φ = 987106176.

The previous prime is 3085742939. The next prime is 3085742963. The reversal of 3085742952 is 2592475803.

3085742952 is a `hidden beast` number, since 3 + 0 + 8 + 574 + 29 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3085742898 and 3085742907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1643038 + ... + 1644914.

It is an arithmetic number, because the mean of its divisors is an integer number (56241405).

Almost surely, 2^3085742952 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 3085742952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4499312400).

3085742952 is an abundant number, since it is smaller than the sum of its proper divisors (5912881848).

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

3085742952 is a wasteful number, since it uses less digits than its factorization.

3085742952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 3085742952 is about 55549.4640118156. The cubic root of 3085742952 is about 1455.8610102099.

The spelling of 3085742952 in words is "three billion, eighty-five million, seven hundred forty-two thousand, nine hundred fifty-two".