3085551360 has 576 divisors, whose sum is σ = 11930419200. Its totient is φ = 752467968.

The previous prime is 3085551353. The next prime is 3085551389. The reversal of 3085551360 is 631555803.

3085551360 is a `hidden beast` number, since 3 + 0 + 85 + 5 + 513 + 60 = 666.

3085551360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24295617 + ... + 24295743.

Almost surely, 2^3085551360 is an apocalyptic number.

3085551360 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 3085551360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5965209600).

3085551360 is an abundant number, since it is smaller than the sum of its proper divisors (8844867840).

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

3085551360 is a wasteful number, since it uses less digits than its factorization.

3085551360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 3085551360 is about 55547.7394679567. The cubic root of 3085551360 is about 1455.8308783961.

It can be divided in two parts, 30855 and 51360, that added together give a triangular number (82215 = T₄₀₅).

The spelling of 3085551360 in words is "three billion, eighty-five million, five hundred fifty-one thousand, three hundred sixty".