3226126401 has 15 divisors (see below), whose sum is σ = 4820038993. Its totient is φ = 2150410140.

The previous prime is 3226126399. The next prime is 3226126417. The reversal of 3226126401 is 1046216223.

The square root of 3226126401 is 56799.

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

3226126401 is a `hidden beast` number, since 3 + 2 + 2 + 6 + 12 + 640 + 1 = 666.

It is not a de Polignac number, because 3226126401 - 2¹ = 3226126399 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3226122401) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 508036 + ... + 514346.

Almost surely, 2^3226126401 is an apocalyptic number.

3226126401 is the 56799-th square number.

3226126401 is the 28400-th centered octagonal number.

It is an amenable number.

3226126401 is a deficient number, since it is larger than the sum of its proper divisors (1593912592).

3226126401 is an frugal number, since it uses more digits than its factorization.

3226126401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12634 (or 6314 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The cubic root of 3226126401 is about 1477.6121711329.

The spelling of 3226126401 in words is "three billion, two hundred twenty-six million, one hundred twenty-six thousand, four hundred one".