3938813049600 has 2592 divisors, whose sum is σ = 17436758976000. Its totient is φ = 867129753600.

The previous prime is 3938813049599. The next prime is 3938813049623. The reversal of 3938813049600 is 69403188393.

3938813049600 is a `hidden beast` number, since 39 + 388 + 130 + 49 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 19793030301 + ... + 19793030499.

Almost surely, 2^{3938813049600} is an apocalyptic number.

3938813049600 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 3938813049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8718379488000).

3938813049600 is an abundant number, since it is smaller than the sum of its proper divisors (13497945926400).

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

3938813049600 is a wasteful number, since it uses less digits than its factorization.

3938813049600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 3938813049600 in words is "three trillion, nine hundred thirty-eight billion, eight hundred thirteen million, forty-nine thousand, six hundred".