3085677504 has 560 divisors, whose sum is σ = 11675969536. Its totient is φ = 783820800.

The previous prime is 3085677461. The next prime is 3085677527. The reversal of 3085677504 is 4057765803.

3085677504 is a `hidden beast` number, since 3 + 0 + 85 + 67 + 7 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3085677504.

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 79 ways as a sum of consecutive naturals, for example, 14623959 + ... + 14624169.

Almost surely, 2^3085677504 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 3085677504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5837984768).

3085677504 is an abundant number, since it is smaller than the sum of its proper divisors (8590292032).

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

3085677504 is a wasteful number, since it uses less digits than its factorization.

3085677504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 3085677504 is about 55548.8749120988. The cubic root of 3085677504 is about 1455.8507172954.

The spelling of 3085677504 in words is "three billion, eighty-five million, six hundred seventy-seven thousand, five hundred four".