3654560 has 96 divisors (see below), whose sum is σ = 10668672. Its totient is φ = 1152000.

The previous prime is 3654557. The next prime is 3654569. The reversal of 3654560 is 654563.

3654560 = T₂₉ + T₃₀ + ... + T₂₇₉.

3654560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3654569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14435 + ... + 14685.

It is an arithmetic number, because the mean of its divisors is an integer number (111132).

Almost surely, 2^3654560 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 3654560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5334336).

3654560 is an abundant number, since it is smaller than the sum of its proper divisors (7014112).

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

3654560 is a wasteful number, since it uses less digits than its factorization.

3654560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The square root of 3654560 is about 1911.6903514952. The cubic root of 3654560 is about 154.0322639996.

It can be divided in two parts, 365 and 4560, that multiplied together give a triangular number (1664400 = T₁₈₂₄).

The spelling of 3654560 in words is "three million, six hundred fifty-four thousand, five hundred sixty".