3649932316800 has 2304 divisors, whose sum is σ = 17210378465280. Its totient is φ = 741718425600.

The previous prime is 3649932316763. The next prime is 3649932316817. The reversal of 3649932316800 is 86132399463.

3649932316800 is a `hidden beast` number, since 36 + 499 + 32 + 3 + 16 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2814133752 + ... + 2814135048.

It is an arithmetic number, because the mean of its divisors is an integer number (7469782320).

Almost surely, 2^{3649932316800} is an apocalyptic number.

3649932316800 is a gapful number since it is divisible by the number (30) 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 3649932316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8605189232640).

3649932316800 is an abundant number, since it is smaller than the sum of its proper divisors (13560446148480).

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

3649932316800 is a wasteful number, since it uses less digits than its factorization.

3649932316800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 3649932316800 in words is "three trillion, six hundred forty-nine billion, nine hundred thirty-two million, three hundred sixteen thousand, eight hundred".