3649794454800 has 600 divisors, whose sum is σ = 14592898052040. Its totient is φ = 867428352000.

The previous prime is 3649794454799. The next prime is 3649794454843. The reversal of 3649794454800 is 84544979463.

It is a happy number.

3649794454800 is a `hidden beast` number, since 3 + 6 + 4 + 97 + 94 + 454 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2610887198976 + 1038907255824 = 1615824^2 + 1019268^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12065400 + ... + 12364200.

Almost surely, 2^{3649794454800} is an apocalyptic number.

3649794454800 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 3649794454800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7296449026020).

3649794454800 is an abundant number, since it is smaller than the sum of its proper divisors (10943103597240).

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

3649794454800 is a wasteful number, since it uses less digits than its factorization.

3649794454800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298873 (or 298853 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 3649794454800 in words is "three trillion, six hundred forty-nine billion, seven hundred ninety-four million, four hundred fifty-four thousand, eight hundred".