3648100 has 27 divisors (see below), whose sum is σ = 7958041. Its totient is φ = 1451600.

The previous prime is 3648079. The next prime is 3648101. The reversal of 3648100 is 18463.

The square root of 3648100 is 1910.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1313316 + 2334784 = 1146^2 + 1528^2 .

It is a super-2 number, since 2×3648100² = 26617267220000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3648101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19005 + ... + 19195.

Almost surely, 2^3648100 is an apocalyptic number.

3648100 is the 1910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3648100

3648100 is an abundant number, since it is smaller than the sum of its proper divisors (4309941).

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

3648100 is a wasteful number, since it uses less digits than its factorization.

3648100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The cubic root of 3648100 is about 153.9414518541.

Multiplying 3648100 by its product of nonzero digits (576), we get a square (2101305600 = 45840²).

It can be divided in two parts, 364 and 8100, that added together give a square (8464 = 92²).

The spelling of 3648100 in words is "three million, six hundred forty-eight thousand, one hundred".