3641600 has 54 divisors (see below), whose sum is σ = 9029370. Its totient is φ = 1454080.

The previous prime is 3641593. The next prime is 3641609. The reversal of 3641600 is 61463.

3641600 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 3 ways, for example, as 16384 + 3625216 = 128^2 + 1904^2 .

It is a super-2 number, since 2×3641600² = 26522501120000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3641609) 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, 6116 + ... + 6684.

Almost surely, 2^3641600 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 3641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4514685).

3641600 is an abundant number, since it is smaller than the sum of its proper divisors (5387770).

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

3641600 is an equidigital number, since it uses as much as digits as its factorization.

3641600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 576 counting only the distinct ones).

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

The square root of 3641600 is about 1908.2976707003. The cubic root of 3641600 is about 153.8499691362.

The spelling of 3641600 in words is "three million, six hundred forty-one thousand, six hundred".