3603373516800 has 1008 divisors, whose sum is σ = 13861213411500. Its totient is φ = 927486443520.

The previous prime is 3603373516747. The next prime is 3603373516807. The reversal of 3603373516800 is 86153733063.

3603373516800 is a `hidden beast` number, since 3 + 60 + 3 + 3 + 73 + 516 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1149664306176 + 2453709210624 = 1072224^2 + 1566432^2 .

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 (3603373516807) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1082417536 + ... + 1082420864.

Almost surely, 2^{3603373516800} is an apocalyptic number.

3603373516800 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 3603373516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6930606705750).

3603373516800 is an abundant number, since it is smaller than the sum of its proper divisors (10257839894700).

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

3603373516800 is an equidigital number, since it uses as much as digits as its factorization.

3603373516800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3408 (or 3368 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 3603373516800 in words is "three trillion, six hundred three billion, three hundred seventy-three million, five hundred sixteen thousand, eight hundred".