3830361600 has 240 divisors, whose sum is σ = 13628471472. Its totient is φ = 942735360.

The previous prime is 3830361571. The next prime is 3830361607. The reversal of 3830361600 is 61630383.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3830361607) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 495364 + ... + 503036.

Almost surely, 2^3830361600 is an apocalyptic number.

3830361600 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 3830361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6814235736).

3830361600 is an abundant number, since it is smaller than the sum of its proper divisors (9798109872).

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

3830361600 is a wasteful number, since it uses less digits than its factorization.

3830361600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7717 (or 7696 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 3830361600 is about 61889.9151720214. The cubic root of 3830361600 is about 1564.6357830522.

Adding to 3830361600 its reverse (61630383), we get a palindrome (3891991983).

The spelling of 3830361600 in words is "three billion, eight hundred thirty million, three hundred sixty-one thousand, six hundred".