3649320000 has 560 divisors, whose sum is σ = 13965529600. Its totient is φ = 933120000.

The previous prime is 3649319963. The next prime is 3649320019. The reversal of 3649320000 is 239463.

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 79 ways as a sum of consecutive naturals, for example, 33479946 + ... + 33480054.

Almost surely, 2^3649320000 is an apocalyptic number.

3649320000 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 3649320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6982764800).

3649320000 is an abundant number, since it is smaller than the sum of its proper divisors (10316209600).

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

3649320000 is a wasteful number, since it uses less digits than its factorization.

3649320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3649320000 is about 60409.6018857930. The cubic root of 3649320000 is about 1539.5861034206.

Adding to 3649320000 its reverse (239463), we get a palindrome (3649559463).

The spelling of 3649320000 in words is "three billion, six hundred forty-nine million, three hundred twenty thousand".