3603315974400 has 1296 divisors, whose sum is σ = 14347131349824. Its totient is φ = 891495383040.

The previous prime is 3603315974387. The next prime is 3603315974429. The reversal of 3603315974400 is 44795133063.

3603315974400 is a `hidden beast` number, since 3 + 60 + 33 + 159 + 7 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×3603315974400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1930002267 + ... + 1930004133.

Almost surely, 2^{3603315974400} is an apocalyptic number.

3603315974400 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 3603315974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7173565674912).

3603315974400 is an abundant number, since it is smaller than the sum of its proper divisors (10743815375424).

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

3603315974400 is a wasteful number, since it uses less digits than its factorization.

3603315974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 1967 counting only the distinct ones).

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

The spelling of 3603315974400 in words is "three trillion, six hundred three billion, three hundred fifteen million, nine hundred seventy-four thousand, four hundred".