3838928400 has 360 divisors, whose sum is σ = 14104097280. Its totient is φ = 965376000.

The previous prime is 3838928399. The next prime is 3838928419. The reversal of 3838928400 is 48298383.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 4575181 + ... + 4576019.

It is an arithmetic number, because the mean of its divisors is an integer number (39178048).

Almost surely, 2^3838928400 is an apocalyptic number.

3838928400 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 3838928400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7052048640).

3838928400 is an abundant number, since it is smaller than the sum of its proper divisors (10265168880).

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

3838928400 is a wasteful number, since it uses less digits than its factorization.

3838928400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 921 counting only the distinct ones).

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

The square root of 3838928400 is about 61959.0865006901. The cubic root of 3838928400 is about 1565.8013772154.

The spelling of 3838928400 in words is "three billion, eight hundred thirty-eight million, nine hundred twenty-eight thousand, four hundred".