1103664384 has 216 divisors, whose sum is σ = 3386335680. Its totient is φ = 344948736.

The previous prime is 1103664377. The next prime is 1103664391. The reversal of 1103664384 is 4834663011.

It is a happy number.

1103664384 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 6 + 643 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1103664377) and next prime (1103664391).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3126352 + ... + 3126704.

It is an arithmetic number, because the mean of its divisors is an integer number (15677480).

Almost surely, 2^1103664384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1103664384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693167840).

1103664384 is an abundant number, since it is smaller than the sum of its proper divisors (2282671296).

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

1103664384 is a wasteful number, since it uses less digits than its factorization.

1103664384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1103664384 is about 33221.4446404728. Note that the first 3 decimals coincide. The cubic root of 1103664384 is about 1033.4251088333.

The spelling of 1103664384 in words is "one billion, one hundred three million, six hundred sixty-four thousand, three hundred eighty-four".