3858928400 has 60 divisors (see below), whose sum is σ = 9317856000. Its totient is φ = 1535783040.

The previous prime is 3858928369. The next prime is 3858928441. The reversal of 3858928400 is 48298583.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55361 + ... + 103839.

It is an arithmetic number, because the mean of its divisors is an integer number (155297600).

Almost surely, 2^3858928400 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 3858928400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4658928000).

3858928400 is an abundant number, since it is smaller than the sum of its proper divisors (5458927600).

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

3858928400 is a wasteful number, since it uses less digits than its factorization.

3858928400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48696 (or 48685 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 47.

The square root of 3858928400 is about 62120.2736632736. The cubic root of 3858928400 is about 1568.5158327322.

The spelling of 3858928400 in words is "three billion, eight hundred fifty-eight million, nine hundred twenty-eight thousand, four hundred".