3766759680 has 144 divisors (see below), whose sum is σ = 12553430400. Its totient is φ = 960774144.

The previous prime is 3766759679. The next prime is 3766759691. The reversal of 3766759680 is 869576673.

It is a super-3 number, since 3×3766759680³ (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3766759680.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66996 + ... + 109644.

It is an arithmetic number, because the mean of its divisors is an integer number (87176600).

Almost surely, 2^3766759680 is an apocalyptic number.

3766759680 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 3766759680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6276715200).

3766759680 is an abundant number, since it is smaller than the sum of its proper divisors (8786670720).

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

3766759680 is a wasteful number, since it uses less digits than its factorization.

3766759680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42696 (or 42682 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 57.

The square root of 3766759680 is about 61373.9332290183. The cubic root of 3766759680 is about 1555.9273122668.

The spelling of 3766759680 in words is "three billion, seven hundred sixty-six million, seven hundred fifty-nine thousand, six hundred eighty".