3378220206144 has 896 divisors, whose sum is σ = 11177087201280. Its totient is φ = 880046899200.

The previous prime is 3378220206143. The next prime is 3378220206149. The reversal of 3378220206144 is 4416020228733.

It is a super-2 number, since 2×3378220206144² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3378220206096 and 3378220206105.

It is not an unprimeable number, because it can be changed into a prime (3378220206143) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14498799052 + ... + 14498799284.

It is an arithmetic number, because the mean of its divisors is an integer number (12474427680).

Almost surely, 2^{3378220206144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3378220206144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5588543600640).

3378220206144 is an abundant number, since it is smaller than the sum of its proper divisors (7798866995136).

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

3378220206144 is a wasteful number, since it uses less digits than its factorization.

3378220206144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 3378220206144 in words is "three trillion, three hundred seventy-eight billion, two hundred twenty million, two hundred six thousand, one hundred forty-four".