3766560 has 192 divisors, whose sum is σ = 14515200. Its totient is φ = 801792.

The previous prime is 3766559. The next prime is 3766573. The reversal of 3766560 is 656673.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63811 + ... + 63869.

It is an arithmetic number, because the mean of its divisors is an integer number (75600).

Almost surely, 2^3766560 is an apocalyptic number.

3766560 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 3766560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7257600).

3766560 is an abundant number, since it is smaller than the sum of its proper divisors (10748640).

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

3766560 is a wasteful number, since it uses less digits than its factorization.

3766560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 3766560 is about 1940.7627366579. The cubic root of 3766560 is about 155.5899817985.

The spelling of 3766560 in words is "three million, seven hundred sixty-six thousand, five hundred sixty".