1036118304 has 240 divisors, whose sum is σ = 3325884408. Its totient is φ = 314523648.

The previous prime is 1036118287. The next prime is 1036118309. The reversal of 1036118304 is 4038116301.

1036118304 is a `hidden beast` number, since 10 + 3 + 611 + 8 + 30 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 413715600 + 622402704 = 20340^2 + 24948^2 .

It is a super-3 number, since 3×1036118304³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1036118309) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3268354 + ... + 3268670.

Almost surely, 2^1036118304 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 1036118304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662942204).

1036118304 is an abundant number, since it is smaller than the sum of its proper divisors (2289766104).

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

1036118304 is a wasteful number, since it uses less digits than its factorization.

1036118304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1036118304 is about 32188.7915896201. The cubic root of 1036118304 is about 1011.8973269372.

The spelling of 1036118304 in words is "one billion, thirty-six million, one hundred eighteen thousand, three hundred four".