3616819600 has 135 divisors (see below), whose sum is σ = 9072273411. Its totient is φ = 1385625600.

The previous prime is 3616819567. The next prime is 3616819601. The reversal of 3616819600 is 69186163.

The square root of 3616819600 is 60140.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 132987024 + 3483832576 = 11532^2 + 59024^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (3616819601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 37286752 + ... + 37286848.

Almost surely, 2^3616819600 is an apocalyptic number.

3616819600 is the 60140-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3616819600

3616819600 is an abundant number, since it is smaller than the sum of its proper divisors (5455453811).

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

3616819600 is an equidigital number, since it uses as much as digits as its factorization.

3616819600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The cubic root of 3616819600 is about 1535.0020123971.

Multiplying 3616819600 by its product of nonzero digits (46656), we get a square (168746335257600 = 12990240²).

The spelling of 3616819600 in words is "three billion, six hundred sixteen million, eight hundred nineteen thousand, six hundred".