3464840 has 64 divisors (see below), whose sum is σ = 8467200. Its totient is φ = 1271808.

The previous prime is 3464827. The next prime is 3464843. The reversal of 3464840 is 484643.

3464840 = 218² + 219² + ... + 274².

3464840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

3464840 is a nontrivial binomial coefficient, being equal to C(97, 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3464843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35672 + ... + 35768.

It is an arithmetic number, because the mean of its divisors is an integer number (132300).

Almost surely, 2^3464840 is an apocalyptic number.

3464840 is the 1520-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3464840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4233600).

3464840 is an abundant number, since it is smaller than the sum of its proper divisors (5002360).

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

3464840 is a wasteful number, since it uses less digits than its factorization.

3464840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 3464840 is about 1861.4080691777. The cubic root of 3464840 is about 151.3193248217.

The spelling of 3464840 in words is "three million, four hundred sixty-four thousand, eight hundred forty".