34401601 has 12 divisors (see below), whose sum is σ = 38095932. Its totient is φ = 30881088.

The previous prime is 34401593. The next prime is 34401613. The reversal of 34401601 is 10610443.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4096576 + 30305025 = 2024^2 + 5505^2 .

It is not a de Polignac number, because 34401601 - 2³ = 34401593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34401641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16831 + ... + 18763.

It is an arithmetic number, because the mean of its divisors is an integer number (3174661).

Almost surely, 2^34401601 is an apocalyptic number.

It is an amenable number.

34401601 is a deficient number, since it is larger than the sum of its proper divisors (3694331).

34401601 is a wasteful number, since it uses less digits than its factorization.

34401601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 34401601 is about 5865.2878019753. The cubic root of 34401601 is about 325.2317116829.

It can be divided in two parts, 3440 and 1601, that added together give a square (5041 = 71²).

The spelling of 34401601 in words is "thirty-four million, four hundred one thousand, six hundred one".