34914049737075 has 216 divisors, whose sum is σ = 65813078870448. Its totient is φ = 18348443688960.

The previous prime is 34914049737019. The next prime is 34914049737139. The reversal of 34914049737075 is 57073794041943.

34914049737075 is a `hidden beast` number, since 3 + 4 + 9 + 1 + 4 + 0 + 497 + 3 + 70 + 75 = 666.

It is not a de Polignac number, because 34914049737075 - 2¹⁶ = 34914049671539 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 16216464199 + ... + 16216466351.

Almost surely, 2^{34914049737075} is an apocalyptic number.

34914049737075 is a deficient number, since it is larger than the sum of its proper divisors (30899029133373).

34914049737075 is an equidigital number, since it uses as much as digits as its factorization.

34914049737075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2693 (or 2587 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 63.

The spelling of 34914049737075 in words is "thirty-four trillion, nine hundred fourteen billion, forty-nine million, seven hundred thirty-seven thousand, seventy-five".