3313105440 has 48 divisors (see below), whose sum is σ = 10436283648. Its totient is φ = 883494656.

The previous prime is 3313105427. The next prime is 3313105441. The reversal of 3313105440 is 445013133.

It is a happy number.

3313105440 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3313105440.

It is not an unprimeable number, because it can be changed into a prime (3313105441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3450672 + ... + 3451631.

It is an arithmetic number, because the mean of its divisors is an integer number (217422576).

Almost surely, 2^3313105440 is an apocalyptic number.

3313105440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3313105440 is an abundant number, since it is smaller than the sum of its proper divisors (7123178208).

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

3313105440 is a wasteful number, since it uses less digits than its factorization.

3313105440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6902321 (or 6902313 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 3313105440 is about 57559.5816524061. The cubic root of 3313105440 is about 1490.7738034363.

Adding to 3313105440 its reverse (445013133), we get a palindrome (3758118573).

The spelling of 3313105440 in words is "three billion, three hundred thirteen million, one hundred five thousand, four hundred forty".