3864921403392 has 702 divisors, whose sum is σ = 13708448491608. Its totient is φ = 1045967634432.

The previous prime is 3864921403367. The next prime is 3864921403423. The reversal of 3864921403392 is 2933041294683.

3864921403392 is a `hidden beast` number, since 3 + 8 + 6 + 492 + 140 + 3 + 3 + 9 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 652084333 + ... + 652090259.

It is an arithmetic number, because the mean of its divisors is an integer number (19527704404).

Almost surely, 2^{3864921403392} is an apocalyptic number.

3864921403392 is a gapful number since it is divisible by the number (32) 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 3864921403392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6854224245804).

3864921403392 is an abundant number, since it is smaller than the sum of its proper divisors (9843527088216).

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

3864921403392 is a wasteful number, since it uses less digits than its factorization.

3864921403392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6009 (or 5958 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 3864921403392 in words is "three trillion, eight hundred sixty-four billion, nine hundred twenty-one million, four hundred three thousand, three hundred ninety-two".