3706560 has 280 divisors, whose sum is σ = 15489936. Its totient is φ = 829440.

The previous prime is 3706529. The next prime is 3706609. The reversal of 3706560 is 656073.

3706560 is a `hidden beast` number, since 3 + 7 + 0 + 656 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 285114 + ... + 285126.

Almost surely, 2^3706560 is an apocalyptic number.

3706560 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 3706560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7744968).

3706560 is an abundant number, since it is smaller than the sum of its proper divisors (11783376).

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

3706560 is a wasteful number, since it uses less digits than its factorization.

3706560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 3706560 is about 1925.2428418254. The cubic root of 3706560 is about 154.7593908261.

The spelling of 3706560 in words is "three million, seven hundred six thousand, five hundred sixty".