3965033760 has 288 divisors, whose sum is σ = 13446482112. Its totient is φ = 981811200.

The previous prime is 3965033747. The next prime is 3965033773. The reversal of 3965033760 is 673305693.

It is an interprime number because it is at equal distance from previous prime (3965033747) and next prime (3965033773).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14010579 + ... + 14010861.

It is an arithmetic number, because the mean of its divisors is an integer number (46689174).

Almost surely, 2^3965033760 is an apocalyptic number.

3965033760 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 3965033760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6723241056).

3965033760 is an abundant number, since it is smaller than the sum of its proper divisors (9481448352).

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

3965033760 is a wasteful number, since it uses less digits than its factorization.

3965033760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 42.

The square root of 3965033760 is about 62968.5140367787. The cubic root of 3965033760 is about 1582.7620543892.

The spelling of 3965033760 in words is "three billion, nine hundred sixty-five million, thirty-three thousand, seven hundred sixty".