3904560 has 240 divisors, whose sum is σ = 15668640. Its totient is φ = 860160.

The previous prime is 3904547. The next prime is 3904591. The reversal of 3904560 is 654093.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134626 + ... + 134654.

It is an arithmetic number, because the mean of its divisors is an integer number (65286).

Almost surely, 2^3904560 is an apocalyptic number.

3904560 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 3904560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7834320).

3904560 is an abundant number, since it is smaller than the sum of its proper divisors (11764080).

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

3904560 is a wasteful number, since it uses less digits than its factorization.

3904560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3904560 is about 1975.9959514129. The cubic root of 3904560 is about 157.4674157839.

It can be divided in two parts, 390 and 4560, that added together give a triangular number (4950 = T₉₉).

The spelling of 3904560 in words is "three million, nine hundred four thousand, five hundred sixty".