3872003064384 has 448 divisors, whose sum is σ = 12723356620800. Its totient is φ = 1017975269376.

The previous prime is 3872003064359. The next prime is 3872003064403. The reversal of 3872003064384 is 4834603002783.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1024608607 + ... + 1024612385.

It is an arithmetic number, because the mean of its divisors is an integer number (28400349600).

Almost surely, 2^{3872003064384} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3872003064384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6361678310400).

3872003064384 is an abundant number, since it is smaller than the sum of its proper divisors (8851353556416).

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

3872003064384 is a wasteful number, since it uses less digits than its factorization.

3872003064384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4187 (or 4151 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 48.

The spelling of 3872003064384 in words is "three trillion, eight hundred seventy-two billion, three million, sixty-four thousand, three hundred eighty-four".