34002000301 has 8 divisors (see below), whose sum is σ = 35751115800. Its totient is φ = 32291327040.

The previous prime is 34002000287. The next prime is 34002000317. The reversal of 34002000301 is 10300020043.

It can be written as a sum of positive squares in 4 ways, for example, as 2911142025 + 31090858276 = 53955^2 + 176326^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34002000301 - 2⁵ = 34002000269 is a prime.

It is a super-2 number, since 2×34002000301² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34002000391) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9608746 + ... + 9612283.

It is an arithmetic number, because the mean of its divisors is an integer number (4468889475).

Almost surely, 2^34002000301 is an apocalyptic number.

It is an amenable number.

34002000301 is a deficient number, since it is larger than the sum of its proper divisors (1749115499).

34002000301 is a wasteful number, since it uses less digits than its factorization.

34002000301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19221119.

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 34002000301 its reverse (10300020043), we get a palindrome (44302020344).

The spelling of 34002000301 in words is "thirty-four billion, two million, three hundred one", and thus it is an aban number.