3354313440 has 96 divisors (see below), whose sum is σ = 10851714720. Its totient is φ = 870303744.

The previous prime is 3354313439. The next prime is 3354313463. The reversal of 3354313440 is 443134533.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3354313440² = 22502837307529267200, which contains 22 as substring.

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 = 3354313398 and 3354313407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76675 + ... + 112194.

It is an arithmetic number, because the mean of its divisors is an integer number (113038695).

Almost surely, 2^3354313440 is an apocalyptic number.

3354313440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3354313440 is an abundant number, since it is smaller than the sum of its proper divisors (7497401280).

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

3354313440 is a wasteful number, since it uses less digits than its factorization.

3354313440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188924 (or 188916 counting only the distinct ones).

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

The square root of 3354313440 is about 57916.4349731577. The cubic root of 3354313440 is about 1496.9290415445.

Adding to 3354313440 its reverse (443134533), we get a palindrome (3797447973).

The spelling of 3354313440 in words is "three billion, three hundred fifty-four million, three hundred thirteen thousand, four hundred forty".