3612100 has 36 divisors (see below), whose sum is σ = 8038548. Its totient is φ = 1408000.

The previous prime is 3612097. The next prime is 3612121. The reversal of 3612100 is 12163.

It can be written as a sum of positive squares in 6 ways, for example, as 1153476 + 2458624 = 1074^2 + 1568^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3660 + ... + 4540.

It is an arithmetic number, because the mean of its divisors is an integer number (223293).

Almost surely, 2^3612100 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 3612100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4019274).

3612100 is an abundant number, since it is smaller than the sum of its proper divisors (4426448).

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

3612100 is a wasteful number, since it uses less digits than its factorization.

3612100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 3612100 is about 1900.5525512335. The cubic root of 3612100 is about 153.4334045348.

Adding to 3612100 its reverse (12163), we get a palindrome (3624263).

It can be divided in two parts, 36 and 12100, that multiplied together give a square (435600 = 660²).

The spelling of 3612100 in words is "three million, six hundred twelve thousand, one hundred".