3344465520 has 480 divisors, whose sum is σ = 12821125824. Its totient is φ = 774144000.

The previous prime is 3344465507. The next prime is 3344465533. The reversal of 3344465520 is 255644433.

3344465520 is a `hidden beast` number, since 3 + 34 + 44 + 65 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (3344465507) and next prime (3344465533).

It is a super-2 number, since 2×3344465520² = 22370899228937740800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 29596984 + ... + 29597096.

Almost surely, 2^3344465520 is an apocalyptic number.

3344465520 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 3344465520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6410562912).

3344465520 is an abundant number, since it is smaller than the sum of its proper divisors (9476660304).

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

3344465520 is a wasteful number, since it uses less digits than its factorization.

3344465520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The square root of 3344465520 is about 57831.3541255952. The cubic root of 3344465520 is about 1495.4626622161.

It can be divided in two parts, 3344 and 465520, that added together give a palindrome (468864).

The spelling of 3344465520 in words is "three billion, three hundred forty-four million, four hundred sixty-five thousand, five hundred twenty".