3649723056 has 160 divisors (see below), whose sum is σ = 12217472000. Its totient is φ = 1042735680.

The previous prime is 3649723037. The next prime is 3649723087. The reversal of 3649723056 is 6503279463.

3649723056 is a `hidden beast` number, since 364 + 9 + 7 + 230 + 56 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135861 + ... + 160491.

It is an arithmetic number, because the mean of its divisors is an integer number (76359200).

Almost surely, 2^3649723056 is an apocalyptic number.

3649723056 is a gapful number since it is divisible by the number (36) 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 3649723056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6108736000).

3649723056 is an abundant number, since it is smaller than the sum of its proper divisors (8567748944).

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

3649723056 is a wasteful number, since it uses less digits than its factorization.

3649723056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24669 (or 24643 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The square root of 3649723056 is about 60412.9378196426. The cubic root of 3649723056 is about 1539.6427821601.

The spelling of 3649723056 in words is "three billion, six hundred forty-nine million, seven hundred twenty-three thousand, fifty-six".