3258126400 has 63 divisors (see below), whose sum is σ = 8022649309. Its totient is φ = 1302337280.

The previous prime is 3258126371. The next prime is 3258126439. The reversal of 3258126400 is 46218523.

The square root of 3258126400 is 57080.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1172925504 + 2085200896 = 34248^2 + 45664^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2282487 + ... + 2283913.

Almost surely, 2^3258126400 is an apocalyptic number.

3258126400 is the 57080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3258126400

3258126400 is an abundant number, since it is smaller than the sum of its proper divisors (4764522909).

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

3258126400 is an frugal number, since it uses more digits than its factorization.

3258126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2876 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The cubic root of 3258126400 is about 1482.4815926856.

The spelling of 3258126400 in words is "three billion, two hundred fifty-eight million, one hundred twenty-six thousand, four hundred".