3649104000 has 256 divisors, whose sum is σ = 13442457600. Its totient is φ = 972979200.

The previous prime is 3649103993. The next prime is 3649104037. The reversal of 3649104000 is 4019463.

3649104000 is a `hidden beast` number, since 3 + 649 + 10 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 427777 + ... + 436223.

It is an arithmetic number, because the mean of its divisors is an integer number (52509600).

Almost surely, 2^3649104000 is an apocalyptic number.

3649104000 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 3649104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6721228800).

3649104000 is an abundant number, since it is smaller than the sum of its proper divisors (9793353600).

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

3649104000 is an equidigital number, since it uses as much as digits as its factorization.

3649104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8485 (or 8457 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3649104000 is about 60407.8140640762. The cubic root of 3649104000 is about 1539.5557272446. Note that the first 3 decimals are identical.

The spelling of 3649104000 in words is "three billion, six hundred forty-nine million, one hundred four thousand".