3965328000 has 512 divisors, whose sum is σ = 14931820800. Its totient is φ = 1034035200.

The previous prime is 3965327969. The next prime is 3965328001. The reversal of 3965328000 is 8235693.

It is a super-2 number, since 2×3965328000² = 31447652295168000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3965328001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28943932 + ... + 28944068.

Almost surely, 2^3965328000 is an apocalyptic number.

3965328000 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 3965328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7465910400).

3965328000 is an abundant number, since it is smaller than the sum of its proper divisors (10966492800).

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

3965328000 is a wasteful number, since it uses less digits than its factorization.

3965328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3965328000 is about 62970.8503992125. The cubic root of 3965328000 is about 1582.8012049922.

The spelling of 3965328000 in words is "three billion, nine hundred sixty-five million, three hundred twenty-eight thousand".