3035220465600 has 1008 divisors, whose sum is σ = 12051528652800. Its totient is φ = 749158502400.

The previous prime is 3035220465509. The next prime is 3035220465601. The reversal of 3035220465600 is 65640225303.

3035220465600 is a `hidden beast` number, since 3 + 0 + 3 + 5 + 2 + 2 + 0 + 46 + 5 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3035220465601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 277208926 + ... + 277219874.

It is an arithmetic number, because the mean of its divisors is an integer number (11955881600).

Almost surely, 2^{3035220465600} is an apocalyptic number.

3035220465600 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 3035220465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6025764326400).

3035220465600 is an abundant number, since it is smaller than the sum of its proper divisors (9016308187200).

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

3035220465600 is a wasteful number, since it uses less digits than its factorization.

3035220465600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11040 (or 11013 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 3035220465600 in words is "three trillion, thirty-five billion, two hundred twenty million, four hundred sixty-five thousand, six hundred".