3655120 has 80 divisors (see below), whose sum is σ = 9963648. Its totient is φ = 1221120.

The previous prime is 3655111. The next prime is 3655121. The reversal of 3655120 is 215563.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 3655091 and 3655100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3655121) 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, 34107 + ... + 34213.

Almost surely, 2^3655120 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 3655120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4981824).

3655120 is an abundant number, since it is smaller than the sum of its proper divisors (6308528).

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

3655120 is a wasteful number, since it uses less digits than its factorization.

3655120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 3655120 is about 1911.8368131198. The cubic root of 3655120 is about 154.0401312177.

The spelling of 3655120 in words is "three million, six hundred fifty-five thousand, one hundred twenty".