3364489569600 has 1344 divisors, whose sum is σ = 13908633600000. Its totient is φ = 786657484800.

The previous prime is 3364489569583. The next prime is 3364489569607. The reversal of 3364489569600 is 69659844633.

It is a happy number.

3364489569600 is a `hidden beast` number, since 3 + 3 + 6 + 4 + 4 + 8 + 9 + 569 + 60 + 0 = 666.

It is a super-2 number, since 2×3364489569600² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3364489569607) 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 191 ways as a sum of consecutive naturals, for example, 585227526 + ... + 585233274.

Almost surely, 2^{3364489569600} is an apocalyptic number.

3364489569600 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 3364489569600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6954316800000).

3364489569600 is an abundant number, since it is smaller than the sum of its proper divisors (10544144030400).

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

3364489569600 is a wasteful number, since it uses less digits than its factorization.

3364489569600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5853 (or 5832 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 63.

The spelling of 3364489569600 in words is "three trillion, three hundred sixty-four billion, four hundred eighty-nine million, five hundred sixty-nine thousand, six hundred".