3464000 has 56 divisors (see below), whose sum is σ = 8598408. Its totient is φ = 1382400.

The previous prime is 3463981. The next prime is 3464003. The reversal of 3464000 is 4643.

It can be written as a sum of positive squares in 4 ways, for example, as 614656 + 2849344 = 784^2 + 1688^2 .

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3464000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3464003) 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, 7784 + ... + 8216.

It is an arithmetic number, because the mean of its divisors is an integer number (153543).

Almost surely, 2^3464000 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 3464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4299204).

3464000 is an abundant number, since it is smaller than the sum of its proper divisors (5134408).

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

3464000 is an equidigital number, since it uses as much as digits as its factorization.

3464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 3464000 is about 1861.1824198611. The cubic root of 3464000 is about 151.3070954445.

Adding to 3464000 its reverse (4643), we get a palindrome (3468643).

The spelling of 3464000 in words is "three million, four hundred sixty-four thousand".