3363868569600 has 3120 divisors, whose sum is σ = 16281495774720. Its totient is φ = 665675366400.

The previous prime is 3363868569493. The next prime is 3363868569619. The reversal of 3363868569600 is 69658683633.

3363868569600 is a `hidden beast` number, since 3 + 3 + 6 + 3 + 8 + 6 + 8 + 569 + 60 + 0 = 666.

It is a super-2 number, since 2×3363868569600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 14689382286 + ... + 14689382514.

Almost surely, 2^{3363868569600} is an apocalyptic number.

3363868569600 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 3363868569600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8140747887360).

3363868569600 is an abundant number, since it is smaller than the sum of its proper divisors (12917627205120).

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

3363868569600 is a wasteful number, since it uses less digits than its factorization.

3363868569600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 280 counting only the distinct ones).

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

The spelling of 3363868569600 in words is "three trillion, three hundred sixty-three billion, eight hundred sixty-eight million, five hundred sixty-nine thousand, six hundred".