3915965760 has 448 divisors, whose sum is σ = 14858049024. Its totient is φ = 855244800.

The previous prime is 3915965747. The next prime is 3915965761. The reversal of 3915965760 is 675695193.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3915965761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16806604 + ... + 16806836.

It is an arithmetic number, because the mean of its divisors is an integer number (33165288).

Almost surely, 2^3915965760 is an apocalyptic number.

3915965760 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 3915965760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7429024512).

3915965760 is an abundant number, since it is smaller than the sum of its proper divisors (10942083264).

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

3915965760 is a wasteful number, since it uses less digits than its factorization.

3915965760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 1530900, while the sum is 51.

The square root of 3915965760 is about 62577.6778092636. The cubic root of 3915965760 is about 1576.2059476453.

The spelling of 3915965760 in words is "three billion, nine hundred fifteen million, nine hundred sixty-five thousand, seven hundred sixty".