3041288985600 has 660 divisors, whose sum is σ = 11313755637184. Its totient is φ = 807250821120.

The previous prime is 3041288985599. The next prime is 3041288985613. The reversal of 3041288985600 is 65898821403.

3041288985600 is a `hidden beast` number, since 3 + 0 + 4 + 1 + 28 + 8 + 9 + 8 + 5 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 462409512 + ... + 462416088.

Almost surely, 2^{3041288985600} is an apocalyptic number.

3041288985600 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 3041288985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5656877818592).

3041288985600 is an abundant number, since it is smaller than the sum of its proper divisors (8272466651584).

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

3041288985600 is a wasteful number, since it uses less digits than its factorization.

3041288985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6842 (or 6810 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 3041288985600 in words is "three trillion, forty-one billion, two hundred eighty-eight million, nine hundred eighty-five thousand, six hundred".