3344412400 has 120 divisors (see below), whose sum is σ = 9312689664. Its totient is φ = 1130438400.

The previous prime is 3344412391. The next prime is 3344412403. The reversal of 3344412400 is 42144433.

It is a super-2 number, since 2×3344412400² = 22370188602547520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3344412403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190389 + ... + 207211.

Almost surely, 2^3344412400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3344412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4656344832).

3344412400 is an abundant number, since it is smaller than the sum of its proper divisors (5968277264).

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

3344412400 is a wasteful number, since it uses less digits than its factorization.

3344412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16919 (or 16908 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 3344412400 is about 57830.8948573338. The cubic root of 3344412400 is about 1495.4547447181.

Adding to 3344412400 its reverse (42144433), we get a palindrome (3386556833).

It can be divided in two parts, 33444 and 12400, that multiplied together give a triangular number (414705600 = T₂₈₇₉₉).

The spelling of 3344412400 in words is "three billion, three hundred forty-four million, four hundred twelve thousand, four hundred".