3828280555008 has 1920 divisors, whose sum is σ = 15235124889600. Its totient is φ = 937445031936.

The previous prime is 3828280554953. The next prime is 3828280555009. The reversal of 3828280555008 is 8005550828283.

3828280555008 is a `hidden beast` number, since 3 + 8 + 2 + 8 + 2 + 80 + 5 + 550 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3828280555009) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16017910153 + ... + 16017910391.

It is an arithmetic number, because the mean of its divisors is an integer number (7934960880).

Almost surely, 2^{3828280555008} 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 3828280555008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7617562444800).

3828280555008 is an abundant number, since it is smaller than the sum of its proper divisors (11406844334592).

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

3828280555008 is a wasteful number, since it uses less digits than its factorization.

3828280555008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 6144000, while the sum is 54.

The spelling of 3828280555008 in words is "three trillion, eight hundred twenty-eight billion, two hundred eighty million, five hundred fifty-five thousand, eight".