3615616900 has 81 divisors (see below), whose sum is σ = 9137487429. Its totient is φ = 1238196960.

The previous prime is 3615616861. The next prime is 3615616943. The reversal of 3615616900 is 96165163.

The square root of 3615616900 is 60130.

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., 1301622084 + 2313994816 = 36078^2 + 48104^2 .

It is a super-2 number, since 2×3615616900² = 26145371135131220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3615616900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4208671 + ... + 4209529.

Almost surely, 2^3615616900 is an apocalyptic number.

3615616900 is the 60130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3615616900

3615616900 is an abundant number, since it is smaller than the sum of its proper divisors (5521870529).

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

3615616900 is an equidigital number, since it uses as much as digits as its factorization.

3615616900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 37.

The cubic root of 3615616900 is about 1534.8318489391.

It can be divided in two parts, 361 and 5616900, that multiplied together give a square (2027700900 = 45030²).

The spelling of 3615616900 in words is "three billion, six hundred fifteen million, six hundred sixteen thousand, nine hundred".