3821984400 has 240 divisors, whose sum is σ = 13242180224. Its totient is φ = 936714240.

The previous prime is 3821984377. The next prime is 3821984401. The reversal of 3821984400 is 44891283.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (3821984401) 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 47 ways as a sum of consecutive naturals, for example, 5256837 + ... + 5257563.

Almost surely, 2^3821984400 is an apocalyptic number.

3821984400 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 3821984400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6621090112).

3821984400 is an abundant number, since it is smaller than the sum of its proper divisors (9420195824).

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

3821984400 is a wasteful number, since it uses less digits than its factorization.

3821984400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 3821984400 is about 61822.1998961538. The cubic root of 3821984400 is about 1563.4943038827.

The spelling of 3821984400 in words is "three billion, eight hundred twenty-one million, nine hundred eighty-four thousand, four hundred".