34000287201 has 6 divisors (see below), whose sum is σ = 49111525970. Its totient is φ = 22666858128.

The previous prime is 34000287193. The next prime is 34000287221. The reversal of 34000287201 is 10278200043.

It can be written as a sum of positive squares in only one way, i.e., 17041997025 + 16958290176 = 130545^2 + 130224^2 .

It is not a de Polignac number, because 34000287201 - 2³ = 34000287193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34000287221) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1888904836 + ... + 1888904853.

Almost surely, 2^34000287201 is an apocalyptic number.

It is an amenable number.

34000287201 is a deficient number, since it is larger than the sum of its proper divisors (15111238769).

34000287201 is a wasteful number, since it uses less digits than its factorization.

34000287201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3777809695 (or 3777809692 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 34000287201 its reverse (10278200043), we get a palindrome (44278487244).

It can be divided in two parts, 34000 and 287201, that added together give a triangular number (321201 = T₈₀₁).

The spelling of 34000287201 in words is "thirty-four billion, two hundred eighty-seven thousand, two hundred one".