3138189600 has 288 divisors, whose sum is σ = 12572945280. Its totient is φ = 662077440.

The previous prime is 3138189599. The next prime is 3138189619. The reversal of 3138189600 is 69818313.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211216 + ... + 225584.

It is an arithmetic number, because the mean of its divisors is an integer number (43656060).

Almost surely, 2^3138189600 is an apocalyptic number.

3138189600 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 3138189600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6286472640).

3138189600 is an abundant number, since it is smaller than the sum of its proper divisors (9434755680).

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

3138189600 is a wasteful number, since it uses less digits than its factorization.

3138189600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14412 (or 14399 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 3138189600 is about 56019.5465886685. The cubic root of 3138189600 is about 1464.0628686908.

The spelling of 3138189600 in words is "three billion, one hundred thirty-eight million, one hundred eighty-nine thousand, six hundred".