3488000 has 72 divisors (see below), whose sum is σ = 8768760. Its totient is φ = 1382400.

The previous prime is 3487997. The next prime is 3488003. The reversal of 3488000 is 8843.

It is an interprime number because it is at equal distance from previous prime (3487997) and next prime (3488003).

It can be written as a sum of positive squares in 4 ways, for example, as 43264 + 3444736 = 208^2 + 1856^2 .

It is a super-2 number, since 2×3488000² = 24332288000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3488003) 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, 31946 + ... + 32054.

Almost surely, 2^3488000 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 3488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4384380).

3488000 is an abundant number, since it is smaller than the sum of its proper divisors (5280760).

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

3488000 is an equidigital number, since it uses as much as digits as its factorization.

3488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 3488000 is about 1867.6188047886. The cubic root of 3488000 is about 151.6557305375.

The spelling of 3488000 in words is "three million, four hundred eighty-eight thousand".