34007070370401 has 12 divisors (see below), whose sum is σ = 49129782928512. Its totient is φ = 22667476065336.

The previous prime is 34007070370369. The next prime is 34007070370417. The reversal of 34007070370401 is 10407307070043.

It is not a de Polignac number, because 34007070370401 - 2⁵ = 34007070370369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34007070370901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 325293301 + ... + 325397826.

It is an arithmetic number, because the mean of its divisors is an integer number (4094148577376).

Almost surely, 2^{34007070370401} is an apocalyptic number.

It is an amenable number.

34007070370401 is a deficient number, since it is larger than the sum of its proper divisors (15122712558111).

34007070370401 is a wasteful number, since it uses less digits than its factorization.

34007070370401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650696940 (or 650696937 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The spelling of 34007070370401 in words is "thirty-four trillion, seven billion, seventy million, three hundred seventy thousand, four hundred one".