34074340400007 has 48 divisors (see below), whose sum is σ = 50716546657920. Its totient is φ = 22035433964544.

The previous prime is 34074340399999. The next prime is 34074340400047. The reversal of 34074340400007 is 70000404347043.

It is not a de Polignac number, because 34074340400007 - 2³ = 34074340399999 is a prime.

It is a super-2 number, since 2×34074340400007² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34074340400047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23365023 + ... + 24780495.

It is an arithmetic number, because the mean of its divisors is an integer number (1056594722040).

Almost surely, 2^{34074340400007} is an apocalyptic number.

34074340400007 is a deficient number, since it is larger than the sum of its proper divisors (16642206257913).

34074340400007 is a wasteful number, since it uses less digits than its factorization.

34074340400007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416104 (or 1416101 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 36.

The spelling of 34074340400007 in words is "thirty-four trillion, seventy-four billion, three hundred forty million, four hundred thousand, seven".