3864702400384 has 128 divisors (see below), whose sum is σ = 8923373222400. Its totient is φ = 1633048971264.

The previous prime is 3864702400369. The next prime is 3864702400459. The reversal of 3864702400384 is 4830042074683.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21042519 + ... + 21225385.

It is an arithmetic number, because the mean of its divisors is an integer number (69713853300).

Almost surely, 2^{3864702400384} 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 3864702400384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4461686611200).

3864702400384 is an abundant number, since it is smaller than the sum of its proper divisors (5058670822016).

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

3864702400384 is a wasteful number, since it uses less digits than its factorization.

3864702400384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183220 (or 183208 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 49.

The spelling of 3864702400384 in words is "three trillion, eight hundred sixty-four billion, seven hundred two million, four hundred thousand, three hundred eighty-four".