3658760 has 64 divisors (see below), whose sum is σ = 9590400. Its totient is φ = 1230336.

The previous prime is 3658751. The next prime is 3658769. The reversal of 3658760 is 678563.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3658751) and next prime (3658769).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 3658760.

It is not an unprimeable number, because it can be changed into a prime (3658769) 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, 20351 + ... + 20529.

It is an arithmetic number, because the mean of its divisors is an integer number (149850).

Almost surely, 2^3658760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3658760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4795200).

3658760 is an abundant number, since it is smaller than the sum of its proper divisors (5931640).

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

3658760 is a wasteful number, since it uses less digits than its factorization.

3658760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 3658760 is about 1912.7885403254. The cubic root of 3658760 is about 154.0912485592.

The spelling of 3658760 in words is "three million, six hundred fifty-eight thousand, seven hundred sixty".