3685200 has 120 divisors (see below), whose sum is σ = 12270048. Its totient is φ = 944640.

The previous prime is 3685169. The next prime is 3685211. The reversal of 3685200 is 25863.

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 (24).

It is a d-powerful number, because it can be written as 3⁹ + 6⁸ + 8 + 5⁹ + 2¹⁵ + 0 + 0 .

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, 44359 + ... + 44441.

Almost surely, 2^3685200 is an apocalyptic number.

3685200 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 3685200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6135024).

3685200 is an abundant number, since it is smaller than the sum of its proper divisors (8584848).

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

3685200 is a wasteful number, since it uses less digits than its factorization.

3685200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 3685200 is about 1919.6874745645. The cubic root of 3685200 is about 154.4615377493.

The spelling of 3685200 in words is "three million, six hundred eighty-five thousand, two hundred".