3889281200 has 120 divisors (see below), whose sum is σ = 10927538688. Its totient is φ = 1302416640.

The previous prime is 3889281181. The next prime is 3889281241. The reversal of 3889281200 is 21829883.

It is a happy 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 23 ways as a sum of consecutive naturals, for example, 104249 + ... + 136551.

Almost surely, 2^3889281200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3889281200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5463769344).

3889281200 is an abundant number, since it is smaller than the sum of its proper divisors (7038257488).

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

3889281200 is a wasteful number, since it uses less digits than its factorization.

3889281200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32371 (or 32360 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 41.

The square root of 3889281200 is about 62364.1018535503. The cubic root of 3889281200 is about 1572.6175384351.

The spelling of 3889281200 in words is "three billion, eight hundred eighty-nine million, two hundred eighty-one thousand, two hundred".