3628610241 has 16 divisors (see below), whose sum is σ = 4893411264. Its totient is φ = 2391496704.

The previous prime is 3628610207. The next prime is 3628610267. The reversal of 3628610241 is 1420168263.

3628610241 = 264² + 265² + ... + 2217².

It is not a de Polignac number, because 3628610241 - 2²¹ = 3626513089 is a prime.

It is a super-3 number, since 3×3628610241³ (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3628610201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277926 + ... + 290688.

It is an arithmetic number, because the mean of its divisors is an integer number (305838204).

Almost surely, 2^3628610241 is an apocalyptic number.

It is an amenable number.

3628610241 is a deficient number, since it is larger than the sum of its proper divisors (1264801023).

3628610241 is a wasteful number, since it uses less digits than its factorization.

3628610241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13840.

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 3628610241 is about 60237.9468524617. The cubic root of 3628610241 is about 1536.6682116471.

The spelling of 3628610241 in words is "three billion, six hundred twenty-eight million, six hundred ten thousand, two hundred forty-one".