34299410401 has 27 divisors (see below), whose sum is σ = 36216919539. Its totient is φ = 32482773792.

The previous prime is 34299410389. The next prime is 34299410407. The reversal of 34299410401 is 10401499243.

The square root of 34299410401 is 185201.

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., 19470016225 + 14829394176 = 139535^2 + 121776^2 .

It is not a de Polignac number, because 34299410401 - 2⁹ = 34299409889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34299410407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 469854901 + ... + 469854973.

Almost surely, 2^34299410401 is an apocalyptic number.

34299410401 is the 185201-st square number.

34299410401 is the 92601-st centered octagonal number.

It is an amenable number.

34299410401 is a deficient number, since it is larger than the sum of its proper divisors (1917509138).

34299410401 is an frugal number, since it uses more digits than its factorization.

34299410401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 34299410401 in words is "thirty-four billion, two hundred ninety-nine million, four hundred ten thousand, four hundred one".