3378260563200 has 864 divisors, whose sum is σ = 13539903390720. Its totient is φ = 820504166400.

The previous prime is 3378260563199. The next prime is 3378260563201. The reversal of 3378260563200 is 23650628733.

3378260563200 is a `hidden beast` number, since 3 + 3 + 7 + 8 + 2 + 6 + 0 + 5 + 632 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3378260563199) and next prime (3378260563201).

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×3378260563200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3378260563201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91047052 + ... + 91084148.

It is an arithmetic number, because the mean of its divisors is an integer number (15671184480).

Almost surely, 2^{3378260563200} is an apocalyptic number.

3378260563200 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 3378260563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6769951695360).

3378260563200 is an abundant number, since it is smaller than the sum of its proper divisors (10161642827520).

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

3378260563200 is a wasteful number, since it uses less digits than its factorization.

3378260563200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37180 (or 37155 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 3378260563200 in words is "three trillion, three hundred seventy-eight billion, two hundred sixty million, five hundred sixty-three thousand, two hundred".