3378442844700 has 864 divisors, whose sum is σ = 14073765888000. Its totient is φ = 656627212800.

The previous prime is 3378442844641. The next prime is 3378442844723. The reversal of 3378442844700 is 74482448733.

3378442844700 is a `hidden beast` number, since 3 + 37 + 84 + 428 + 44 + 70 + 0 = 666.

It is a super-2 number, since 2×3378442844700² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 104003061 + ... + 104035539.

Almost surely, 2^{3378442844700} is an apocalyptic number.

3378442844700 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 3378442844700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7036882944000).

3378442844700 is an abundant number, since it is smaller than the sum of its proper divisors (10695323043300).

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

3378442844700 is a wasteful number, since it uses less digits than its factorization.

3378442844700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32615 (or 32605 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 54.

The spelling of 3378442844700 in words is "three trillion, three hundred seventy-eight billion, four hundred forty-two million, eight hundred forty-four thousand, seven hundred".