3800593969920 has 1296 divisors, whose sum is σ = 15076368216000. Its totient is φ = 882214502400.

The previous prime is 3800593969897. The next prime is 3800593969927. The reversal of 3800593969920 is 299693950083.

3800593969920 is a `hidden beast` number, since 38 + 0 + 0 + 593 + 9 + 6 + 9 + 9 + 2 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (3800593969927) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 6023128005 + ... + 6023128635.

Almost surely, 2^{3800593969920} is an apocalyptic number.

3800593969920 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 3800593969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7538184108000).

3800593969920 is an abundant number, since it is smaller than the sum of its proper divisors (11275774246080).

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

3800593969920 is a wasteful number, since it uses less digits than its factorization.

3800593969920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 28343520, while the sum is 63.

The spelling of 3800593969920 in words is "three trillion, eight hundred billion, five hundred ninety-three million, nine hundred sixty-nine thousand, nine hundred twenty".