3541200 has 120 divisors (see below), whose sum is σ = 12270048. Its totient is φ = 867840.

The previous prime is 3541199. The next prime is 3541229. The reversal of 3541200 is 21453.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3541200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15487 + ... + 15713.

Almost surely, 2^3541200 is an apocalyptic number.

3541200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6135024).

3541200 is an abundant number, since it is smaller than the sum of its proper divisors (8728848).

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

3541200 is a wasteful number, since it uses less digits than its factorization.

3541200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 3541200 is about 1881.8076416042. The cubic root of 3541200 is about 152.4228759896.

Adding to 3541200 its reverse (21453), we get a palindrome (3562653).

It can be divided in two parts, 3541 and 200, that added together give a triangular number (3741 = T₈₆).

The spelling of 3541200 in words is "three million, five hundred forty-one thousand, two hundred".