3600033030144 has 420 divisors, whose sum is σ = 11425467796974. Its totient is φ = 1129361965056.

The previous prime is 3600033030131. The next prime is 3600033030169. The reversal of 3600033030144 is 4410303300063.

It can be written as a sum of positive squares in 3 ways, for example, as 3323474841600 + 276558188544 = 1823040^2 + 525888^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 191757142 + ... + 191775914.

Almost surely, 2^{3600033030144} is an apocalyptic number.

3600033030144 is a gapful number since it is divisible by the number (34) 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 3600033030144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5712733898487).

3600033030144 is an abundant number, since it is smaller than the sum of its proper divisors (7825434766830).

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

3600033030144 is an equidigital number, since it uses as much as digits as its factorization.

3600033030144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18845 (or 18795 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The spelling of 3600033030144 in words is "three trillion, six hundred billion, thirty-three million, thirty thousand, one hundred forty-four".