3541600 has 72 divisors (see below), whose sum is σ = 9140040. Its totient is φ = 1336320.

The previous prime is 3541589. The next prime is 3541607. The reversal of 3541600 is 61453.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3541607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15084 + ... + 15316.

It is an arithmetic number, because the mean of its divisors is an integer number (126945).

Almost surely, 2^3541600 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 3541600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4570020).

3541600 is an abundant number, since it is smaller than the sum of its proper divisors (5598440).

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

3541600 is a wasteful number, since it uses less digits than its factorization.

3541600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 3541600 is about 1881.9139193916. The cubic root of 3541600 is about 152.4286148027.

The spelling of 3541600 in words is "three million, five hundred forty-one thousand, six hundred".