3864432374400 has 768 divisors, whose sum is σ = 14666130057600. Its totient is φ = 886372761600.

The previous prime is 3864432374389. The next prime is 3864432374423. The reversal of 3864432374400 is 44732344683.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3864432374400.

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 95 ways as a sum of consecutive naturals, for example, 144629842 + ... + 144656558.

Almost surely, 2^{3864432374400} is an apocalyptic number.

3864432374400 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 3864432374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7333065028800).

3864432374400 is an abundant number, since it is smaller than the sum of its proper divisors (10801697683200).

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

3864432374400 is a wasteful number, since it uses less digits than its factorization.

3864432374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26837 (or 26820 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 48.

The spelling of 3864432374400 in words is "three trillion, eight hundred sixty-four billion, four hundred thirty-two million, three hundred seventy-four thousand, four hundred".