34285356001 has 16 divisors (see below), whose sum is σ = 37412600400. Its totient is φ = 31416737664.

The previous prime is 34285355989. The next prime is 34285356013. The reversal of 34285356001 is 10065358243.

It is an interprime number because it is at equal distance from previous prime (34285355989) and next prime (34285356013).

It can be written as a sum of positive squares in 8 ways, for example, as 31684356001 + 2601000000 = 178001^2 + 51000^2 .

It is not a de Polignac number, because 34285356001 - 2⁷ = 34285355873 is a prime.

It is a super-2 number, since 2×34285356001² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34285356701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244035 + ... + 357943.

It is an arithmetic number, because the mean of its divisors is an integer number (2338287525).

Almost surely, 2^34285356001 is an apocalyptic number.

It is an amenable number.

34285356001 is a deficient number, since it is larger than the sum of its proper divisors (3127244399).

34285356001 is a wasteful number, since it uses less digits than its factorization.

34285356001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114085 (or 114059 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

It can be divided in two parts, 34285 and 356001, that added together give a triangular number (390286 = T₈₈₃).

The spelling of 34285356001 in words is "thirty-four billion, two hundred eighty-five million, three hundred fifty-six thousand, one".