3773478144128 has 512 divisors, whose sum is σ = 10059282432000. Its totient is φ = 1366532259840.

The previous prime is 3773478144103. The next prime is 3773478144157. The reversal of 3773478144128 is 8214418743773.

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 63 ways as a sum of consecutive naturals, for example, 1587494876 + ... + 1587497252.

It is an arithmetic number, because the mean of its divisors is an integer number (19647036000).

Almost surely, 2^{3773478144128} 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 3773478144128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5029641216000).

3773478144128 is an abundant number, since it is smaller than the sum of its proper divisors (6285804287872).

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

3773478144128 is a wasteful number, since it uses less digits than its factorization.

3773478144128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2628 (or 2616 counting only the distinct ones).

The product of its digits is 25288704, while the sum is 59.

The spelling of 3773478144128 in words is "three trillion, seven hundred seventy-three billion, four hundred seventy-eight million, one hundred forty-four thousand, one hundred twenty-eight".