3313345440 has 48 divisors (see below), whose sum is σ = 10437039648. Its totient is φ = 883558656.

The previous prime is 3313345429. The next prime is 3313345471. The reversal of 3313345440 is 445433133.

3313345440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3313345398 and 3313345407.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3450922 + ... + 3451881.

It is an arithmetic number, because the mean of its divisors is an integer number (217438326).

Almost surely, 2^3313345440 is an apocalyptic number.

3313345440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3313345440 is an abundant number, since it is smaller than the sum of its proper divisors (7123694208).

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

3313345440 is a wasteful number, since it uses less digits than its factorization.

3313345440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6902821 (or 6902813 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

The square root of 3313345440 is about 57561.6664109023. Note that the first 3 decimals coincide. The cubic root of 3313345440 is about 1490.8097995816.

Adding to 3313345440 its reverse (445433133), we get a palindrome (3758778573).

The spelling of 3313345440 in words is "three billion, three hundred thirteen million, three hundred forty-five thousand, four hundred forty".