3825739320 has 256 divisors, whose sum is σ = 12870144000. Its totient is φ = 903591936.

The previous prime is 3825739303. The next prime is 3825739427. The reversal of 3825739320 is 239375283.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 4559461 + ... + 4560299.

It is an arithmetic number, because the mean of its divisors is an integer number (50274000).

Almost surely, 2^3825739320 is an apocalyptic number.

3825739320 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 3825739320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6435072000).

3825739320 is an abundant number, since it is smaller than the sum of its proper divisors (9044404680).

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

3825739320 is a wasteful number, since it uses less digits than its factorization.

3825739320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 3825739320 is about 61852.5611434159. The cubic root of 3825739320 is about 1564.0061561800.

It can be divided in two parts, 38257 and 39320, that added together give a palindrome (77577).

The spelling of 3825739320 in words is "three billion, eight hundred twenty-five million, seven hundred thirty-nine thousand, three hundred twenty".