34906793929728 has 176 divisors, whose sum is σ = 111927017560320. Its totient is φ = 9448455389184.

The previous prime is 34906793929727. The next prime is 34906793929739. The reversal of 34906793929728 is 82792939760943.

It is not an unprimeable number, because it can be changed into a prime (34906793929727) 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, 42309051 + ... + 43126202.

Almost surely, 2^{34906793929728} is an apocalyptic number.

34906793929728 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

34906793929728 is an abundant number, since it is smaller than the sum of its proper divisors (77020223630592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34906793929728 is a wasteful number, since it uses less digits than its factorization.

34906793929728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85435302 (or 85435284 counting only the distinct ones).

The product of its (nonzero) digits is 2222131968, while the sum is 78.

The spelling of 34906793929728 in words is "thirty-four trillion, nine hundred six billion, seven hundred ninety-three million, nine hundred twenty-nine thousand, seven hundred twenty-eight".