3838618245120 has 384 divisors, whose sum is σ = 12958713331200. Its totient is φ = 968108539904.

The previous prime is 3838618245067. The next prime is 3838618245157. The reversal of 3838618245120 is 215428168383.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62853319 + ... + 62914361.

It is an arithmetic number, because the mean of its divisors is an integer number (33746649300).

Almost surely, 2^{3838618245120} is an apocalyptic number.

3838618245120 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 3838618245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6479356665600).

3838618245120 is an abundant number, since it is smaller than the sum of its proper divisors (9120095086080).

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

3838618245120 is a wasteful number, since it uses less digits than its factorization.

3838618245120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61185 (or 61165 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 3838618245120 in words is "three trillion, eight hundred thirty-eight billion, six hundred eighteen million, two hundred forty-five thousand, one hundred twenty".