3113605440 has 336 divisors, whose sum is σ = 12049231680. Its totient is φ = 750643200.

The previous prime is 3113605399. The next prime is 3113605483. The reversal of 3113605440 is 445063113.

3113605440 is a `hidden beast` number, since 3 + 1 + 13 + 605 + 4 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17202150 + ... + 17202330.

Almost surely, 2^3113605440 is an apocalyptic number.

3113605440 is a gapful number since it is divisible by the number (30) 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 3113605440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6024615840).

3113605440 is an abundant number, since it is smaller than the sum of its proper divisors (8935626240).

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

3113605440 is a wasteful number, since it uses less digits than its factorization.

3113605440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3113605440 is about 55799.6903217213. The cubic root of 3113605440 is about 1460.2297505455.

Adding to 3113605440 its reverse (445063113), we get a palindrome (3558668553).

The spelling of 3113605440 in words is "three billion, one hundred thirteen million, six hundred five thousand, four hundred forty".