34205351425 has 24 divisors (see below), whose sum is σ = 48902870016. Its totient is φ = 23247517440.

The previous prime is 34205351377. The next prime is 34205351431. The reversal of 34205351425 is 52415350243.

It is not a de Polignac number, because 34205351425 - 2²³ = 34196962817 is a prime.

It is a super-2 number, since 2×34205351425² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 845089 + ... + 884638.

It is an arithmetic number, because the mean of its divisors is an integer number (2037619584).

Almost surely, 2^34205351425 is an apocalyptic number.

34205351425 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34205351425 is a deficient number, since it is larger than the sum of its proper divisors (14697518591).

34205351425 is a wasteful number, since it uses less digits than its factorization.

34205351425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729857 (or 1729852 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

The spelling of 34205351425 in words is "thirty-four billion, two hundred five million, three hundred fifty-one thousand, four hundred twenty-five".