1129038336 has 120 divisors (see below), whose sum is σ = 3296290140. Its totient is φ = 371982336.

The previous prime is 1129038331. The next prime is 1129038397. The reversal of 1129038336 is 6338309211.

1129038336 is a `hidden beast` number, since 1 + 1 + 290 + 38 + 336 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1119303936 + 9734400 = 33456^2 + 3120^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 1129038336.

It is not an unprimeable number, because it can be changed into a prime (1129038331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 408736 + ... + 411488.

Almost surely, 2^1129038336 is an apocalyptic number.

1129038336 is a gapful number since it is divisible by the number (16) 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 1129038336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648145070).

1129038336 is an abundant number, since it is smaller than the sum of its proper divisors (2167251804).

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

1129038336 is an equidigital number, since it uses as much as digits as its factorization.

1129038336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2866 (or 2847 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1129038336 is about 33601.1656940648. The cubic root of 1129038336 is about 1041.2848813511.

The spelling of 1129038336 in words is "one billion, one hundred twenty-nine million, thirty-eight thousand, three hundred thirty-six".