3804100009920 has 1344 divisors, whose sum is σ = 16026353763840. Its totient is φ = 846693679104.

The previous prime is 3804100009873. The next prime is 3804100009967. The reversal of 3804100009920 is 299000014083.

It is an interprime number because it is at equal distance from previous prime (3804100009873) and next prime (3804100009967).

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2565137499 + ... + 2565138981.

It is an arithmetic number, because the mean of its divisors is an integer number (11924370360).

Almost surely, 2^{3804100009920} is an apocalyptic number.

3804100009920 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 3804100009920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8013176881920).

3804100009920 is an abundant number, since it is smaller than the sum of its proper divisors (12222253753920).

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

3804100009920 is a wasteful number, since it uses less digits than its factorization.

3804100009920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 3804100009920 in words is "three trillion, eight hundred four billion, one hundred million, nine thousand, nine hundred twenty".