3889382400 has 528 divisors, whose sum is σ = 15168761280. Its totient is φ = 973209600.

The previous prime is 3889382353. The next prime is 3889382429. The reversal of 3889382400 is 42839883.

3889382400 is a `hidden beast` number, since 3 + 88 + 93 + 82 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11750235 + ... + 11750565.

Almost surely, 2^3889382400 is an apocalyptic number.

3889382400 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 3889382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7584380640).

3889382400 is an abundant number, since it is smaller than the sum of its proper divisors (11279378880).

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

3889382400 is a wasteful number, since it uses less digits than its factorization.

3889382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 3889382400 is about 62364.9132124787. The cubic root of 3889382400 is about 1572.6311782746.

The spelling of 3889382400 in words is "three billion, eight hundred eighty-nine million, three hundred eighty-two thousand, four hundred".