3369384345600 has 2856 divisors, whose sum is σ = 15916826035712. Its totient is φ = 687970713600.

The previous prime is 3369384345599. The next prime is 3369384345619. The reversal of 3369384345600 is 65434839633.

It is a happy number.

3369384345600 is a `hidden beast` number, since 3 + 3 + 6 + 9 + 38 + 43 + 4 + 560 + 0 = 666.

It is a super-2 number, since 2×3369384345600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 108689817585 + ... + 108689817615.

Almost surely, 2^{3369384345600} is an apocalyptic number.

3369384345600 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 3369384345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7958413017856).

3369384345600 is an abundant number, since it is smaller than the sum of its proper divisors (12547441690112).

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

3369384345600 is an frugal number, since it uses more digits than its factorization.

3369384345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 54.

The spelling of 3369384345600 in words is "three trillion, three hundred sixty-nine billion, three hundred eighty-four million, three hundred forty-five thousand, six hundred".