3997387838400 has 672 divisors, whose sum is σ = 15077790316800. Its totient is φ = 916977254400.

The previous prime is 3997387838357. The next prime is 3997387838441. The reversal of 3997387838400 is 48387837993.

3997387838400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1112547004 + ... + 1112550596.

Almost surely, 2^{3997387838400} is an apocalyptic number.

3997387838400 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 3997387838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7538895158400).

3997387838400 is an abundant number, since it is smaller than the sum of its proper divisors (11080402478400).

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

3997387838400 is a wasteful number, since it uses less digits than its factorization.

3997387838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4757 (or 4742 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 69.

The spelling of 3997387838400 in words is "three trillion, nine hundred ninety-seven billion, three hundred eighty-seven million, eight hundred thirty-eight thousand, four hundred".