3634101 has 12 divisors (see below), whose sum is σ = 5274828. Its totient is φ = 2410944.

The previous prime is 3634097. The next prime is 3634123. The reversal of 3634101 is 1014363.

It can be written as a sum of positive squares in 2 ways, for example, as 1153476 + 2480625 = 1074^2 + 1575^2 .

It is not a de Polignac number, because 3634101 - 2² = 3634097 is a prime.

It is a super-3 number, since 3×3634101³ (a number of 21 digits) contains 333 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3634171) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1231 + ... + 2963.

It is an arithmetic number, because the mean of its divisors is an integer number (439569).

Almost surely, 2^3634101 is an apocalyptic number.

It is an amenable number.

3634101 is a deficient number, since it is larger than the sum of its proper divisors (1640727).

3634101 is a wasteful number, since it uses less digits than its factorization.

3634101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3634101 is about 1906.3318179163. The cubic root of 3634101 is about 153.7442908846.

Adding to 3634101 its reverse (1014363), we get a palindrome (4648464).

The spelling of 3634101 in words is "three million, six hundred thirty-four thousand, one hundred one".