3965016960 has 256 divisors, whose sum is σ = 14111496000. Its totient is φ = 1052172288.

The previous prime is 3965016959. The next prime is 3965016983. The reversal of 3965016960 is 696105693.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4647894 + ... + 4648746.

Almost surely, 2^3965016960 is an apocalyptic number.

3965016960 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 3965016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7055748000).

3965016960 is an abundant number, since it is smaller than the sum of its proper divisors (10146479040).

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

3965016960 is a wasteful number, since it uses less digits than its factorization.

3965016960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 3965016960 is about 62968.3806366338. The cubic root of 3965016960 is about 1582.7598189782.

The spelling of 3965016960 in words is "three billion, nine hundred sixty-five million, sixteen thousand, nine hundred sixty".