3616661200 has 120 divisors (see below), whose sum is σ = 9133005728. Its totient is φ = 1374589440.

The previous prime is 3616661189. The next prime is 3616661201. The reversal of 3616661200 is 21666163.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3616661201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 633559 + ... + 639241.

Almost surely, 2^3616661200 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 3616661200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4566502864).

3616661200 is an abundant number, since it is smaller than the sum of its proper divisors (5516344528).

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

3616661200 is a wasteful number, since it uses less digits than its factorization.

3616661200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5781 (or 5770 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 3616661200 is about 60138.6830584109. The cubic root of 3616661200 is about 1534.9796034029.

It can be divided in two parts, 361 and 6661200, that added together give a square (6661561 = 2581²).

The spelling of 3616661200 in words is "three billion, six hundred sixteen million, six hundred sixty-one thousand, two hundred".