3984422400 has 840 divisors, whose sum is σ = 17192505264. Its totient is φ = 895795200.

The previous prime is 3984422389. The next prime is 3984422401. The reversal of 3984422400 is 42244893.

3984422400 is a `hidden beast` number, since 398 + 44 + 224 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3984422401) by changing a digit.

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 83 ways as a sum of consecutive naturals, for example, 65318370 + ... + 65318430.

Almost surely, 2^3984422400 is an apocalyptic number.

3984422400 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 3984422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8596252632).

3984422400 is an abundant number, since it is smaller than the sum of its proper divisors (13208082864).

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

3984422400 is an frugal number, since it uses more digits than its factorization.

3984422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3984422400 is about 63122.2813275946. The cubic root of 3984422400 is about 1585.3377129375.

The spelling of 3984422400 in words is "three billion, nine hundred eighty-four million, four hundred twenty-two thousand, four hundred".