3085343640 has 192 divisors, whose sum is σ = 10551060000. Its totient is φ = 780767232.

The previous prime is 3085343629. The next prime is 3085343683. The reversal of 3085343640 is 463435803.

3085343640 is a `hidden beast` number, since 3 + 0 + 8 + 5 + 3 + 4 + 3 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3085343595 and 3085343604.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 613456 + ... + 618464.

Almost surely, 2^3085343640 is an apocalyptic number.

3085343640 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 3085343640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5275530000).

3085343640 is an abundant number, since it is smaller than the sum of its proper divisors (7465716360).

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

3085343640 is a wasteful number, since it uses less digits than its factorization.

3085343640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5114 (or 5107 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3085343640 is about 55545.8696934345. The cubic root of 3085343640 is about 1455.7982087108.

The spelling of 3085343640 in words is "three billion, eighty-five million, three hundred forty-three thousand, six hundred forty".