34877599142401 has 16 divisors (see below), whose sum is σ = 35071522200000. Its totient is φ = 34684311287808.

The previous prime is 34877599142377. The next prime is 34877599142431. The reversal of 34877599142401 is 10424199577843.

It is a cyclic number.

It is not a de Polignac number, because 34877599142401 - 2⁵ = 34877599142369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34877599142431) 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, 236900430 + ... + 237047608.

It is an arithmetic number, because the mean of its divisors is an integer number (2191970137500).

Almost surely, 2^{34877599142401} is an apocalyptic number.

It is an amenable number.

34877599142401 is a deficient number, since it is larger than the sum of its proper divisors (193923057599).

34877599142401 is a wasteful number, since it uses less digits than its factorization.

34877599142401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149328.

The product of its (nonzero) digits is 60963840, while the sum is 64.

The spelling of 34877599142401 in words is "thirty-four trillion, eight hundred seventy-seven billion, five hundred ninety-nine million, one hundred forty-two thousand, four hundred one".