3649947609600 has 1200 divisors, whose sum is σ = 14061456672120. Its totient is φ = 933927321600.

The previous prime is 3649947609587. The next prime is 3649947609617. The reversal of 3649947609600 is 69067499463.

3649947609600 is a `hidden beast` number, since 36 + 49 + 9 + 476 + 0 + 96 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 136048896 + 3649811560704 = 11664^2 + 1910448^2 .

It is a tau number, because it is divible by the number of its divisors (1200).

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 119 ways as a sum of consecutive naturals, for example, 7005657340 + ... + 7005657860.

Almost surely, 2^{3649947609600} is an apocalyptic number.

3649947609600 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 3649947609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7030728336060).

3649947609600 is an abundant number, since it is smaller than the sum of its proper divisors (10411509062520).

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

3649947609600 is a wasteful number, since it uses less digits than its factorization.

3649947609600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 63.

The spelling of 3649947609600 in words is "three trillion, six hundred forty-nine billion, nine hundred forty-seven million, six hundred nine thousand, six hundred".