3085460294400 has 1080 divisors, whose sum is σ = 12512615808000. Its totient is φ = 743957913600.

The previous prime is 3085460294383. The next prime is 3085460294407. The reversal of 3085460294400 is 44920645803.

3085460294400 is a `hidden beast` number, since 30 + 8 + 5 + 4 + 602 + 9 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is not an unprimeable number, because it can be changed into a prime (3085460294407) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 1134776241 + ... + 1134778959.

Almost surely, 2^{3085460294400} is an apocalyptic number.

3085460294400 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 3085460294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6256307904000).

3085460294400 is an abundant number, since it is smaller than the sum of its proper divisors (9427155513600).

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

3085460294400 is a wasteful number, since it uses less digits than its factorization.

3085460294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2967 (or 2939 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 3085460294400 in words is "three trillion, eighty-five billion, four hundred sixty million, two hundred ninety-four thousand, four hundred".