3850704000 has 1152 divisors, whose sum is σ = 17332464240. Its totient is φ = 811008000.

The previous prime is 3850703977. The next prime is 3850704007. The reversal of 3850704000 is 4070583.

It can be written as a sum of positive squares in 8 ways, for example, as 66977856 + 3783726144 = 8184^2 + 61512^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (3850704007) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 226511992 + ... + 226512008.

Almost surely, 2^3850704000 is an apocalyptic number.

3850704000 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 3850704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8666232120).

3850704000 is an abundant number, since it is smaller than the sum of its proper divisors (13481760240).

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

3850704000 is a wasteful number, since it uses less digits than its factorization.

3850704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 3850704000 is about 62054.0409643079. The cubic root of 3850704000 is about 1567.4007324025.

Adding to 3850704000 its reverse (4070583), we get a palindrome (3854774583).

The spelling of 3850704000 in words is "three billion, eight hundred fifty million, seven hundred four thousand".