3613993396800 has 336 divisors, whose sum is σ = 11904089577600. Its totient is φ = 959905382400.

The previous prime is 3613993396787. The next prime is 3613993396823. The reversal of 3613993396800 is 86933993163.

It is a super-2 number, since 2×3613993396800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 47 ways as a sum of consecutive naturals, for example, 1730010156 + ... + 1730012244.

Almost surely, 2^{3613993396800} is an apocalyptic number.

3613993396800 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 3613993396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5952044788800).

3613993396800 is an abundant number, since it is smaller than the sum of its proper divisors (8290096180800).

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

3613993396800 is a wasteful number, since it uses less digits than its factorization.

3613993396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3374 (or 3359 counting only the distinct ones).

The product of its (nonzero) digits is 17006112, while the sum is 60.

The spelling of 3613993396800 in words is "three trillion, six hundred thirteen billion, nine hundred ninety-three million, three hundred ninety-six thousand, eight hundred".