3896857600 has 198 divisors, whose sum is σ = 10059330554. Its totient is φ = 1496678400.

The previous prime is 3896857577. The next prime is 3896857619. The reversal of 3896857600 is 67586983.

It can be written as a sum of positive squares in 9 ways, for example, as 2200735744 + 1696121856 = 46912^2 + 41184^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21529510 + ... + 21529690.

Almost surely, 2^3896857600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3896857600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5029665277).

3896857600 is an abundant number, since it is smaller than the sum of its proper divisors (6162472954).

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

3896857600 is a wasteful number, since it uses less digits than its factorization.

3896857600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The square root of 3896857600 is about 62424.8155784220. The cubic root of 3896857600 is about 1573.6380398699.

The spelling of 3896857600 in words is "three billion, eight hundred ninety-six million, eight hundred fifty-seven thousand, six hundred".