3085634796480 has 896 divisors, whose sum is σ = 11500517064960. Its totient is φ = 777789112320.

The previous prime is 3085634796457. The next prime is 3085634796481. The reversal of 3085634796480 is 846974365803.

3085634796480 is a `hidden beast` number, since 3 + 0 + 8 + 5 + 63 + 4 + 7 + 96 + 480 = 666.

It is a super-2 number, since 2×3085634796480² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3085634796481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5203431064 + ... + 5203431656.

It is an arithmetic number, because the mean of its divisors is an integer number (12835398510).

Almost surely, 2^{3085634796480} is an apocalyptic number.

3085634796480 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 3085634796480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5750258532480).

3085634796480 is an abundant number, since it is smaller than the sum of its proper divisors (8414882268480).

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

3085634796480 is a wasteful number, since it uses less digits than its factorization.

3085634796480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 3085634796480 in words is "three trillion, eighty-five billion, six hundred thirty-four million, seven hundred ninety-six thousand, four hundred eighty".