3896643600 has 180 divisors, whose sum is σ = 13552456372. Its totient is φ = 1036800000.

The previous prime is 3896643589. The next prime is 3896643631. The reversal of 3896643600 is 63466983.

3896643600 is a `hidden beast` number, since 38 + 9 + 6 + 6 + 4 + 3 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 102576384 + 3794067216 = 10128^2 + 61596^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2162700 + ... + 2164500.

Almost surely, 2^3896643600 is an apocalyptic number.

3896643600 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 3896643600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6776228186).

3896643600 is an abundant number, since it is smaller than the sum of its proper divisors (9655812772).

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

3896643600 is a wasteful number, since it uses less digits than its factorization.

3896643600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 3896643600 is about 62423.1014929569. The cubic root of 3896643600 is about 1573.6092333511.

The spelling of 3896643600 in words is "three billion, eight hundred ninety-six million, six hundred forty-three thousand, six hundred".