3520768 has 36 divisors (see below), whose sum is σ = 7450380. Its totient is φ = 1654784.

The previous prime is 3520739. The next prime is 3520787. The reversal of 3520768 is 8670253.

It can be written as a sum of positive squares in 2 ways, for example, as 2930944 + 589824 = 1712^2 + 768^2 .

It is a super-4 number, since 4×3520768⁴ (a number of 27 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3948 + ... + 4756.

It is an arithmetic number, because the mean of its divisors is an integer number (206955).

Almost surely, 2^3520768 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 3520768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3725190).

3520768 is an abundant number, since it is smaller than the sum of its proper divisors (3929612).

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

3520768 is an equidigital number, since it uses as much as digits as its factorization.

3520768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 3520768 is about 1876.3709654543. The cubic root of 3520768 is about 152.1291607604.

The spelling of 3520768 in words is "three million, five hundred twenty thousand, seven hundred sixty-eight".