34243132401 has 45 divisors (see below), whose sum is σ = 53052880881. Its totient is φ = 22010468256.

The previous prime is 34243132373. The next prime is 34243132457. The reversal of 34243132401 is 10423134243.

The square root of 34243132401 is 185049.

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

34243132401 is a `hidden beast` number, since 3 + 4 + 243 + 13 + 2 + 401 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4878882801 + 29364249600 = 69849^2 + 171360^2 .

It is not a de Polignac number, because 34243132401 - 2¹¹ = 34243130353 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (34243132471) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 48297435 + ... + 48298143.

Almost surely, 2^34243132401 is an apocalyptic number.

34243132401 is the 185049-th square number.

34243132401 is the 92525-th centered octagonal number.

It is an amenable number.

34243132401 is a deficient number, since it is larger than the sum of its proper divisors (18809748480).

34243132401 is an frugal number, since it uses more digits than its factorization.

34243132401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 34243132401 its reverse (10423134243), we get a palindrome (44666266644).

The spelling of 34243132401 in words is "thirty-four billion, two hundred forty-three million, one hundred thirty-two thousand, four hundred one".