3641747616 has 288 divisors, whose sum is σ = 12222297360. Its totient is φ = 1017741312.

The previous prime is 3641747579. The next prime is 3641747621. The reversal of 3641747616 is 6167471463.

It can be written as a sum of positive squares in 8 ways, for example, as 1155728016 + 2486019600 = 33996^2 + 49860^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1844806 + ... + 1846778.

Almost surely, 2^3641747616 is an apocalyptic number.

3641747616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3641747616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6111148680).

3641747616 is an abundant number, since it is smaller than the sum of its proper divisors (8580549744).

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

3641747616 is a wasteful number, since it uses less digits than its factorization.

3641747616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048 (or 2037 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 3641747616 is about 60346.8940045799. The cubic root of 3641747616 is about 1538.5204793029.

The spelling of 3641747616 in words is "three billion, six hundred forty-one million, seven hundred forty-seven thousand, six hundred sixteen".