3641760 has 120 divisors (see below), whose sum is σ = 12898116. Its totient is φ = 967680.

The previous prime is 3641753. The next prime is 3641767. The reversal of 3641760 is 671463.

It is an interprime number because it is at equal distance from previous prime (3641753) and next prime (3641767).

It can be written as a sum of positive squares in 2 ways, for example, as 3640464 + 1296 = 1908^2 + 36^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3641767) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12820 + ... + 13100.

Almost surely, 2^3641760 is an apocalyptic number.

3641760 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 3641760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6449058).

3641760 is an abundant number, since it is smaller than the sum of its proper divisors (9256356).

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

3641760 is a wasteful number, since it uses less digits than its factorization.

3641760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3641760 is about 1908.3395924206. The cubic root of 3641760 is about 153.8522223247.

The spelling of 3641760 in words is "three million, six hundred forty-one thousand, seven hundred sixty".