1100738720 has 48 divisors (see below), whose sum is σ = 2607995880. Its totient is φ = 439025664.

The previous prime is 1100738713. The next prime is 1100738747. The reversal of 1100738720 is 278370011.

It can be written as a sum of positive squares in 4 ways, for example, as 493017616 + 607721104 = 22204^2 + 24652^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46736 + ... + 66224.

Almost surely, 2^1100738720 is an apocalyptic number.

1100738720 is a gapful number since it is divisible by the number (10) 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 1100738720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303997940).

1100738720 is an abundant number, since it is smaller than the sum of its proper divisors (1507257160).

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

1100738720 is a wasteful number, since it uses less digits than its factorization.

1100738720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19857 (or 19849 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 29.

The square root of 1100738720 is about 33177.3826574671. The cubic root of 1100738720 is about 1032.5111443432.

The spelling of 1100738720 in words is "one billion, one hundred million, seven hundred thirty-eight thousand, seven hundred twenty".