3838161600 has 1008 divisors, whose sum is σ = 17540752320. Its totient is φ = 774144000.

The previous prime is 3838161563. The next prime is 3838161623. The reversal of 3838161600 is 61618383.

3838161600 is a `hidden beast` number, since 3 + 8 + 38 + 1 + 616 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38001550 + ... + 38001650.

It is an arithmetic number, because the mean of its divisors is an integer number (17401540).

Almost surely, 2^3838161600 is an apocalyptic number.

3838161600 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 3838161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8770376160).

3838161600 is an abundant number, since it is smaller than the sum of its proper divisors (13702590720).

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

3838161600 is a wasteful number, since it uses less digits than its factorization.

3838161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3838161600 is about 61952.8982372899. The cubic root of 3838161600 is about 1565.6971175261.

Adding to 3838161600 its reverse (61618383), we get a palindrome (3899779983).

The spelling of 3838161600 in words is "three billion, eight hundred thirty-eight million, one hundred sixty-one thousand, six hundred".