3085457760 has 288 divisors, whose sum is σ = 13127692032. Its totient is φ = 641111040.

The previous prime is 3085457743. The next prime is 3085457777. The reversal of 3085457760 is 677545803.

3085457760 is a `hidden beast` number, since 30 + 8 + 545 + 7 + 76 + 0 = 666.

3085457760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3085457743) and next prime (3085457777).

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96967 + ... + 124793.

It is an arithmetic number, because the mean of its divisors is an integer number (45582264).

Almost surely, 2^3085457760 is an apocalyptic number.

3085457760 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 3085457760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6563846016).

3085457760 is an abundant number, since it is smaller than the sum of its proper divisors (10042234272).

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

3085457760 is a wasteful number, since it uses less digits than its factorization.

3085457760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27866 (or 27855 counting only the distinct ones).

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

The square root of 3085457760 is about 55546.8969430336. The cubic root of 3085457760 is about 1455.8161574023.

The spelling of 3085457760 in words is "three billion, eighty-five million, four hundred fifty-seven thousand, seven hundred sixty".