3344242440 has 512 divisors, whose sum is σ = 13503283200. Its totient is φ = 641571840.

The previous prime is 3344242439. The next prime is 3344242441. The reversal of 3344242440 is 442424433.

It is an interprime number because it is at equal distance from previous prime (3344242439) and next prime (3344242441).

It is a super-2 number, since 2×3344242440² = 22367914994994307200, 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 = 3344242398 and 3344242407.

It is not an unprimeable number, because it can be changed into a prime (3344242441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7548859 + ... + 7549301.

It is an arithmetic number, because the mean of its divisors is an integer number (26373600).

Almost surely, 2^3344242440 is an apocalyptic number.

3344242440 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 3344242440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6751641600).

3344242440 is an abundant number, since it is smaller than the sum of its proper divisors (10159040760).

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

3344242440 is a wasteful number, since it uses less digits than its factorization.

3344242440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

The square root of 3344242440 is about 57829.4253818936. The cubic root of 3344242440 is about 1495.4294117384.

Adding to 3344242440 its reverse (442424433), we get a palindrome (3786666873).

It can be divided in two parts, 3 and 344242440, that added together give a palindrome (344242443).

The spelling of 3344242440 in words is "three billion, three hundred forty-four million, two hundred forty-two thousand, four hundred forty".