3378025108800 has 504 divisors, whose sum is σ = 12845456513760. Its totient is φ = 839401574400.

The previous prime is 3378025108741. The next prime is 3378025108867. The reversal of 3378025108800 is 88015208733.

It is a super-2 number, since 2×3378025108800² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16588399 + ... + 16790801.

Almost surely, 2^{3378025108800} is an apocalyptic number.

3378025108800 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 3378025108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6422728256880).

3378025108800 is an abundant number, since it is smaller than the sum of its proper divisors (9467431404960).

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

3378025108800 is a wasteful number, since it uses less digits than its factorization.

3378025108800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202511 (or 202493 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 3378025108800 in words is "three trillion, three hundred seventy-eight billion, twenty-five million, one hundred eight thousand, eight hundred".