3513313440 has 672 divisors, whose sum is σ = 15362718336. Its totient is φ = 739031040.

The previous prime is 3513313399. The next prime is 3513313451. The reversal of 3513313440 is 443133153.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 10614075 + ... + 10614405.

It is an arithmetic number, because the mean of its divisors is an integer number (22861188).

Almost surely, 2^3513313440 is an apocalyptic number.

3513313440 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 3513313440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7681359168).

3513313440 is an abundant number, since it is smaller than the sum of its proper divisors (11849404896).

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

3513313440 is a wasteful number, since it uses less digits than its factorization.

3513313440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 3513313440 is about 59273.2101374643. The cubic root of 3513313440 is about 1520.2171665706.

Adding to 3513313440 its reverse (443133153), we get a palindrome (3956446593).

The spelling of 3513313440 in words is "three billion, five hundred thirteen million, three hundred thirteen thousand, four hundred forty".