34007070370407 has 64 divisors (see below), whose sum is σ = 47047320944640. Its totient is φ = 21832618300416.

The previous prime is 34007070370369. The next prime is 34007070370417. The reversal of 34007070370407 is 70407307070043.

It is not a de Polignac number, because 34007070370407 - 2¹⁶ = 34007070304871 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34007070370417) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14804992483 + ... + 14804994779.

It is an arithmetic number, because the mean of its divisors is an integer number (735114389760).

Almost surely, 2^{34007070370407} is an apocalyptic number.

34007070370407 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

34007070370407 is a deficient number, since it is larger than the sum of its proper divisors (13040250574233).

34007070370407 is a wasteful number, since it uses less digits than its factorization.

34007070370407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4520.

The product of its (nonzero) digits is 345744, while the sum is 42.

The spelling of 34007070370407 in words is "thirty-four trillion, seven billion, seventy million, three hundred seventy thousand, four hundred seven".