3412424400 has 240 divisors, whose sum is σ = 13628794368. Its totient is φ = 709056000.

The previous prime is 3412424381. The next prime is 3412424413. The reversal of 3412424400 is 44242143.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 47 ways as a sum of consecutive naturals, for example, 73935 + ... + 110865.

Almost surely, 2^3412424400 is an apocalyptic number.

3412424400 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 3412424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6814397184).

3412424400 is an abundant number, since it is smaller than the sum of its proper divisors (10216369968).

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

3412424400 is a wasteful number, since it uses less digits than its factorization.

3412424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36970 (or 36959 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 3412424400 is about 58415.9601478911. The cubic root of 3412424400 is about 1505.5239876240.

Adding to 3412424400 its reverse (44242143), we get a palindrome (3456666543).

The spelling of 3412424400 in words is "three billion, four hundred twelve million, four hundred twenty-four thousand, four hundred".