3413868897600 has 2016 divisors, whose sum is σ = 15303790494720. Its totient is φ = 731148042240.

The previous prime is 3413868897599. The next prime is 3413868897601. The reversal of 3413868897600 is 67988683143.

3413868897600 is a `hidden beast` number, since 3 + 4 + 13 + 8 + 6 + 8 + 8 + 9 + 7 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (3413868897599) and next prime (3413868897601).

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3413868897601) 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 287 ways as a sum of consecutive naturals, for example, 5533012492 + ... + 5533013108.

It is an arithmetic number, because the mean of its divisors is an integer number (7591165920).

Almost surely, 2^{3413868897600} is an apocalyptic number.

3413868897600 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 3413868897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7651895247360).

3413868897600 is an abundant number, since it is smaller than the sum of its proper divisors (11889921597120).

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

3413868897600 is a wasteful number, since it uses less digits than its factorization.

3413868897600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 3413868897600 in words is "three trillion, four hundred thirteen billion, eight hundred sixty-eight million, eight hundred ninety-seven thousand, six hundred".