3965089968 has 400 divisors, whose sum is σ = 14150332416. Its totient is φ = 1046960640.

The previous prime is 3965089963. The next prime is 3965090009. The reversal of 3965089968 is 8699805693.

3965089968 is a `hidden beast` number, since 39 + 6 + 508 + 9 + 96 + 8 = 666.

3965089968 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3965089963) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6468030 + ... + 6468642.

Almost surely, 2^3965089968 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 3965089968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7075166208).

3965089968 is an abundant number, since it is smaller than the sum of its proper divisors (10185242448).

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

3965089968 is a wasteful number, since it uses less digits than its factorization.

3965089968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The square root of 3965089968 is about 62968.9603534948. The cubic root of 3965089968 is about 1582.7695333898.

The spelling of 3965089968 in words is "three billion, nine hundred sixty-five million, eighty-nine thousand, nine hundred sixty-eight".