3460900 has 36 divisors (see below), whose sum is σ = 7663572. Its totient is φ = 1356160.

The previous prime is 3460883. The next prime is 3460921. The reversal of 3460900 is 90643.

3460900 = 360² + 361² + ... + 384².

3460900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 97344 + 3363556 = 312^2 + 1834^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4974 + ... + 5626.

It is an arithmetic number, because the mean of its divisors is an integer number (212877).

Almost surely, 2^3460900 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 3460900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3831786).

3460900 is an abundant number, since it is smaller than the sum of its proper divisors (4202672).

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

3460900 is a wasteful number, since it uses less digits than its factorization.

3460900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 3460900 is about 1860.3494295427. The cubic root of 3460900 is about 151.2619461001.

The spelling of 3460900 in words is "three million, four hundred sixty thousand, nine hundred".