34921008360001 has 16 divisors (see below), whose sum is σ = 38370854949840. Its totient is φ = 31633386588160.

The previous prime is 34921008359959. The next prime is 34921008360011. The reversal of 34921008360001 is 10006380012943.

It is a Cunningham number, because it is equal to 5909400²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 1954750719376 + 32966257640625 = 1398124^2 + 5741625^2 .

It is a cyclic number.

It is not a de Polignac number, because 34921008360001 - 2²³ = 34920999971393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34921008360011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111568780 + ... + 111881341.

It is an arithmetic number, because the mean of its divisors is an integer number (2398178434365).

Almost surely, 2^{34921008360001} is an apocalyptic number.

It is an amenable number.

34921008360001 is a deficient number, since it is larger than the sum of its proper divisors (3449846589839).

34921008360001 is a wasteful number, since it uses less digits than its factorization.

34921008360001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223450484.

The product of its (nonzero) digits is 31104, while the sum is 37.

Adding to 34921008360001 its reverse (10006380012943), we get a palindrome (44927388372944).

The spelling of 34921008360001 in words is "thirty-four trillion, nine hundred twenty-one billion, eight million, three hundred sixty thousand, one".