3200126400 has 168 divisors, whose sum is σ = 11665803440. Its totient is φ = 853355520.

The previous prime is 3200126399. The next prime is 3200126417. The reversal of 3200126400 is 46210023.

It is a happy number.

3200126400 is a `hidden beast` number, since 3 + 20 + 0 + 1 + 2 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 6162 + ... + 80238.

Almost surely, 2^3200126400 is an apocalyptic number.

3200126400 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 3200126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5832901720).

3200126400 is an abundant number, since it is smaller than the sum of its proper divisors (8465677040).

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

3200126400 is a wasteful number, since it uses less digits than its factorization.

3200126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74108 (or 74087 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3200126400 is about 56569.6597126057. The cubic root of 3200126400 is about 1473.6320017666.

Adding to 3200126400 its reverse (46210023), we get a palindrome (3246336423).

It can be divided in two parts, 3200 and 126400, that added together give a square (129600 = 360²).

The spelling of 3200126400 in words is "three billion, two hundred million, one hundred twenty-six thousand, four hundred".