3736684544 has 48 divisors (see below), whose sum is σ = 7483776300. Its totient is φ = 1865285632.

The previous prime is 3736684513. The next prime is 3736684579. The reversal of 3736684544 is 4454866373.

It can be written as a sum of positive squares in 2 ways, for example, as 3677209600 + 59474944 = 60640^2 + 7712^2 .

It is a super-2 number, since 2×3736684544² = 27925622762736975872, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3736684492 and 3736684501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1754072 + ... + 1756200.

Almost surely, 2^3736684544 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 3736684544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3741888150).

3736684544 is an abundant number, since it is smaller than the sum of its proper divisors (3747091756).

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

3736684544 is an equidigital number, since it uses as much as digits as its factorization.

3736684544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3008 (or 2988 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 50.

The square root of 3736684544 is about 61128.4266442381. The cubic root of 3736684544 is about 1551.7752180921.

The spelling of 3736684544 in words is "three billion, seven hundred thirty-six million, six hundred eighty-four thousand, five hundred forty-four".