34589000413 has 32 divisors (see below), whose sum is σ = 39789232128. Its totient is φ = 29783822400.

The previous prime is 34589000371. The next prime is 34589000419. The reversal of 34589000413 is 31400098543.

It is the 75927-th star number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34589000413 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34589000419) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3648906 + ... + 3658372.

It is an arithmetic number, because the mean of its divisors is an integer number (1243413504).

Almost surely, 2^34589000413 is an apocalyptic number.

It is an amenable number.

34589000413 is a deficient number, since it is larger than the sum of its proper divisors (5200231715).

34589000413 is a wasteful number, since it uses less digits than its factorization.

34589000413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9753.

The product of its (nonzero) digits is 51840, while the sum is 37.

Adding to 34589000413 its reverse (31400098543), we get a palindrome (65989098956).

The spelling of 34589000413 in words is "thirty-four billion, five hundred eighty-nine million, four hundred thirteen", and thus it is an aban number.