34345621025 has 12 divisors (see below), whose sum is σ = 42613086204. Its totient is φ = 27460680000.

The previous prime is 34345621019. The next prime is 34345621031. The reversal of 34345621025 is 52012654343.

It is an interprime number because it is at equal distance from previous prime (34345621019) and next prime (34345621031).

It can be written as a sum of positive squares in 6 ways, for example, as 6191801344 + 28153819681 = 78688^2 + 167791^2 .

It is not a de Polignac number, because 34345621025 - 2⁶ = 34345620961 is a prime.

It is a Duffinian number.

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 11 ways as a sum of consecutive naturals, for example, 351026 + ... + 438075.

It is an arithmetic number, because the mean of its divisors is an integer number (3551090517).

Almost surely, 2^34345621025 is an apocalyptic number.

It is an amenable number.

34345621025 is a deficient number, since it is larger than the sum of its proper divisors (8267465179).

34345621025 is a wasteful number, since it uses less digits than its factorization.

34345621025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790852 (or 790847 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

The spelling of 34345621025 in words is "thirty-four billion, three hundred forty-five million, six hundred twenty-one thousand, twenty-five".