3461600 has 36 divisors (see below), whose sum is σ = 8452584. Its totient is φ = 1384320.

The previous prime is 3461599. The next prime is 3461603. The reversal of 3461600 is 61643.

3461600 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3461603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1364 + ... + 2963.

It is an arithmetic number, because the mean of its divisors is an integer number (234794).

Almost surely, 2^3461600 is an apocalyptic number.

It is an amenable number.

3461600 is an abundant number, since it is smaller than the sum of its proper divisors (4990984).

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

3461600 is a wasteful number, since it uses less digits than its factorization.

3461600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4347 (or 4334 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 3461600 is about 1860.5375567292. The cubic root of 3461600 is about 151.2721434693.

The spelling of 3461600 in words is "three million, four hundred sixty-one thousand, six hundred".