3613603574400 has 96 divisors (see below), whose sum is σ = 11902306804800. Its totient is φ = 963627617280.

The previous prime is 3613603574381. The next prime is 3613603574407. The reversal of 3613603574400 is 44753063163.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×3613603574400³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3613603574407) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 188198920 + ... + 188218119.

It is an arithmetic number, because the mean of its divisors is an integer number (123982362550).

Almost surely, 2^{3613603574400} is an apocalyptic number.

3613603574400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3613603574400 is an abundant number, since it is smaller than the sum of its proper divisors (8288703230400).

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

3613603574400 is a wasteful number, since it uses less digits than its factorization.

3613603574400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376417066 (or 376417049 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 42.

The spelling of 3613603574400 in words is "three trillion, six hundred thirteen billion, six hundred three million, five hundred seventy-four thousand, four hundred".