38996903803200 has 1344 divisors, whose sum is σ = 155836170846720. Its totient is φ = 8348368896000.

The previous prime is 38996903803163. The next prime is 38996903803201. The reversal of 38996903803200 is 230830969983.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38996903803201) 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, 7231019704 + ... + 7231025096.

It is an arithmetic number, because the mean of its divisors is an integer number (115949531880).

Almost surely, 2^{38996903803200} is an apocalyptic number.

38996903803200 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 38996903803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77918085423360).

38996903803200 is an abundant number, since it is smaller than the sum of its proper divisors (116839267043520).

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

38996903803200 is a wasteful number, since it uses less digits than its factorization.

38996903803200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5676 (or 5661 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 60.

The spelling of 38996903803200 in words is "thirty-eight trillion, nine hundred ninety-six billion, nine hundred three million, eight hundred three thousand, two hundred".