3978051369600 has 2304 divisors, whose sum is σ = 17440883712000. Its totient is φ = 778513612800.

The previous prime is 3978051369587. The next prime is 3978051369647. The reversal of 3978051369600 is 69631508793.

It is a happy number.

3978051369600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 16644566281 + ... + 16644566519.

It is an arithmetic number, because the mean of its divisors is an integer number (7569828000).

Almost surely, 2^{3978051369600} is an apocalyptic number.

3978051369600 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 3978051369600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8720441856000).

3978051369600 is an abundant number, since it is smaller than the sum of its proper divisors (13462832342400).

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

3978051369600 is a wasteful number, since it uses less digits than its factorization.

3978051369600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 57.

The spelling of 3978051369600 in words is "three trillion, nine hundred seventy-eight billion, fifty-one million, three hundred sixty-nine thousand, six hundred".