3965538600 has 192 divisors, whose sum is σ = 14100288000. Its totient is φ = 1023321600.

The previous prime is 3965538539. The next prime is 3965538601. The reversal of 3965538600 is 68355693.

3965538600 is a `hidden beast` number, since 3 + 9 + 6 + 5 + 5 + 38 + 600 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3965538601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155556 + ... + 179244.

It is an arithmetic number, because the mean of its divisors is an integer number (73439000).

Almost surely, 2^3965538600 is an apocalyptic number.

3965538600 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 3965538600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7050144000).

3965538600 is an abundant number, since it is smaller than the sum of its proper divisors (10134749400).

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

3965538600 is a wasteful number, since it uses less digits than its factorization.

3965538600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23745 (or 23730 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 3965538600 is about 62972.5225792964. The cubic root of 3965538600 is about 1582.8292255437.

The spelling of 3965538600 in words is "three billion, nine hundred sixty-five million, five hundred thirty-eight thousand, six hundred".