3504288 has 48 divisors (see below), whose sum is σ = 9295776. Its totient is φ = 1155840.

The previous prime is 3504287. The next prime is 3504289. The reversal of 3504288 is 8824053.

It is an interprime number because it is at equal distance from previous prime (3504287) and next prime (3504289).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (3504287) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16503 + ... + 16713.

It is an arithmetic number, because the mean of its divisors is an integer number (193662).

Almost surely, 2^3504288 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 3504288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4647888).

3504288 is an abundant number, since it is smaller than the sum of its proper divisors (5791488).

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

3504288 is a wasteful number, since it uses less digits than its factorization.

3504288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 3504288 is about 1871.9743587988. The cubic root of 3504288 is about 151.8914275445.

The spelling of 3504288 in words is "three million, five hundred four thousand, two hundred eighty-eight".