3363643611600 has 240 divisors, whose sum is σ = 11070212592000. Its totient is φ = 872403609600.

The previous prime is 3363643611599. The next prime is 3363643611619. The reversal of 3363643611600 is 61163463633.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3363643611600² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133142970 + ... + 133168230.

It is an arithmetic number, because the mean of its divisors is an integer number (46125885800).

Almost surely, 2^{3363643611600} is an apocalyptic number.

3363643611600 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 3363643611600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5535106296000).

3363643611600 is an abundant number, since it is smaller than the sum of its proper divisors (7706568980400).

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

3363643611600 is a wasteful number, since it uses less digits than its factorization.

3363643611600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28318 (or 28307 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 42.

The spelling of 3363643611600 in words is "three trillion, three hundred sixty-three billion, six hundred forty-three million, six hundred eleven thousand, six hundred".