3665280 has 128 divisors (see below), whose sum is σ = 12337920. Its totient is φ = 923648.

The previous prime is 3665279. The next prime is 3665293. The reversal of 3665280 is 825663.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a d-powerful number, because it can be written as 3¹³ + 6⁷ + 6⁸ + 5⁷ + 2¹⁵ + 8³ + 0 .

It is a congruent number.

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, 44119 + ... + 44201.

It is an arithmetic number, because the mean of its divisors is an integer number (96390).

Almost surely, 2^3665280 is an apocalyptic number.

3665280 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 3665280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6168960).

3665280 is an abundant number, since it is smaller than the sum of its proper divisors (8672640).

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

3665280 is a wasteful number, since it uses less digits than its factorization.

3665280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 3665280 is about 1914.4920997487. The cubic root of 3665280 is about 154.1827257031.

The spelling of 3665280 in words is "three million, six hundred sixty-five thousand, two hundred eighty".