3649337784976 has 135 divisors (see below), whose sum is σ = 8136951145713. Its totient is φ = 1584499138560.

The previous prime is 3649337784947. The next prime is 3649337784997. The reversal of 3649337784976 is 6794877339463.

The square root of 3649337784976 is 1910324.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1703870744976 + 1945467040000 = 1305324^2 + 1394800^2 .

It is a super-2 number, since 2×3649337784976² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1688725336 + ... + 1688727496.

Almost surely, 2^{3649337784976} is an apocalyptic number.

3649337784976 is the 1910324-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3649337784976

3649337784976 is an abundant number, since it is smaller than the sum of its proper divisors (4487613360737).

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

3649337784976 is an equidigital number, since it uses as much as digits as its factorization.

3649337784976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4390 (or 2193 counting only the distinct ones).

The product of its digits is 3456649728, while the sum is 76.

The spelling of 3649337784976 in words is "three trillion, six hundred forty-nine billion, three hundred thirty-seven million, seven hundred eighty-four thousand, nine hundred seventy-six".