3689280 has 224 divisors, whose sum is σ = 15118080. Its totient is φ = 829440.

The previous prime is 3689263. The next prime is 3689281. The reversal of 3689280 is 829863.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×3689280² = 27221573836800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3689281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60450 + ... + 60510.

Almost surely, 2^3689280 is an apocalyptic number.

3689280 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 3689280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7559040).

3689280 is an abundant number, since it is smaller than the sum of its proper divisors (11428800).

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

3689280 is a wasteful number, since it uses less digits than its factorization.

3689280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3689280 is about 1920.7498535728. The cubic root of 3689280 is about 154.5185197896.

It can be divided in two parts, 3689 and 280, that added together give a square (3969 = 63²).

The spelling of 3689280 in words is "three million, six hundred eighty-nine thousand, two hundred eighty".