3791712960 has 504 divisors, whose sum is σ = 15761000736. Its totient is φ = 819486720.

The previous prime is 3791712949. The next prime is 3791712983. The reversal of 3791712960 is 692171973.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7277500 + ... + 7278020.

Almost surely, 2^3791712960 is an apocalyptic number.

3791712960 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 3791712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7880500368).

3791712960 is an abundant number, since it is smaller than the sum of its proper divisors (11969287776).

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

3791712960 is a wasteful number, since it uses less digits than its factorization.

3791712960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 3791712960 is about 61576.8865728042. The cubic root of 3791712960 is about 1559.3555523510.

The spelling of 3791712960 in words is "three billion, seven hundred ninety-one million, seven hundred twelve thousand, nine hundred sixty".