3780041143424 has 512 divisors, whose sum is σ = 9745574952960. Its totient is φ = 1420817448960.

The previous prime is 3780041143423. The next prime is 3780041143427. The reversal of 3780041143424 is 4243411400873.

It is a super-4 number, since 4×3780041143424⁴ (a number of 51 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (3780041143421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3477498209 + ... + 3477499295.

It is an arithmetic number, because the mean of its divisors is an integer number (19034326080).

Almost surely, 2^{3780041143424} 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 3780041143424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4872787476480).

3780041143424 is an abundant number, since it is smaller than the sum of its proper divisors (5965533809536).

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

3780041143424 is a wasteful number, since it uses less digits than its factorization.

3780041143424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 41.

The spelling of 3780041143424 in words is "three trillion, seven hundred eighty billion, forty-one million, one hundred forty-three thousand, four hundred twenty-four".