34007407344747 has 16 divisors (see below), whose sum is σ = 51019082752000. Its totient is φ = 22384622554632.

The previous prime is 34007407344739. The next prime is 34007407344811. The reversal of 34007407344747 is 74744370470043.

34007407344747 is a `hidden beast` number, since 34 + 0 + 0 + 74 + 0 + 73 + 4 + 474 + 7 = 666.

It is not a de Polignac number, because 34007407344747 - 2³ = 34007407344739 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34007407344693 and 34007407344702.

It is not an unprimeable number, because it can be changed into a prime (34007407324747) 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, 7971729547 + ... + 7971733812.

It is an arithmetic number, because the mean of its divisors is an integer number (3188692672000).

Almost surely, 2^{34007407344747} is an apocalyptic number.

34007407344747 is a deficient number, since it is larger than the sum of its proper divisors (17011675407253).

34007407344747 is a wasteful number, since it uses less digits than its factorization.

34007407344747 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15943463447 (or 15943463441 counting only the distinct ones).

The product of its (nonzero) digits is 22127616, while the sum is 54.

The spelling of 34007407344747 in words is "thirty-four trillion, seven billion, four hundred seven million, three hundred forty-four thousand, seven hundred forty-seven".