3766518960 has 80 divisors (see below), whose sum is σ = 12290760960. Its totient is φ = 951540480.

The previous prime is 3766518953. The next prime is 3766518961. The reversal of 3766518960 is 698156673.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (3766518961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 408436 + ... + 417555.

It is an arithmetic number, because the mean of its divisors is an integer number (153634512).

Almost surely, 2^3766518960 is an apocalyptic number.

3766518960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3766518960 is an abundant number, since it is smaller than the sum of its proper divisors (8524242000).

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

3766518960 is a wasteful number, since it uses less digits than its factorization.

3766518960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826026 (or 826020 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The square root of 3766518960 is about 61371.9721045364. The cubic root of 3766518960 is about 1555.8941669966.

The spelling of 3766518960 in words is "three billion, seven hundred sixty-six million, five hundred eighteen thousand, nine hundred sixty".