3314443440 has 480 divisors, whose sum is σ = 13250151936. Its totient is φ = 665763840.

The previous prime is 3314443439. The next prime is 3314443441. The reversal of 3314443440 is 443444133.

It is an interprime number because it is at equal distance from previous prime (3314443439) and next prime (3314443441).

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 = 3314443398 and 3314443407.

It is not an unprimeable number, because it can be changed into a prime (3314443441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34169472 + ... + 34169568.

Almost surely, 2^3314443440 is an apocalyptic number.

3314443440 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 3314443440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6625075968).

3314443440 is an abundant number, since it is smaller than the sum of its proper divisors (9935708496).

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

3314443440 is a wasteful number, since it uses less digits than its factorization.

3314443440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

The square root of 3314443440 is about 57571.2032182757. The cubic root of 3314443440 is about 1490.9744597824.

Adding to 3314443440 its reverse (443444133), we get a palindrome (3757887573).

The spelling of 3314443440 in words is "three billion, three hundred fourteen million, four hundred forty-three thousand, four hundred forty".