34494676992 has 204 divisors, whose sum is σ = 100476931464. Its totient is φ = 11403264000.

The previous prime is 34494676987. The next prime is 34494677069. The reversal of 34494676992 is 29967649443.

34494676992 is a `hidden beast` number, since 3 + 449 + 46 + 7 + 69 + 92 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137428867 + ... + 137429117.

Almost surely, 2^34494676992 is an apocalyptic number.

34494676992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34494676992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50238465732).

34494676992 is an abundant number, since it is smaller than the sum of its proper divisors (65982254472).

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

34494676992 is an equidigital number, since it uses as much as digits as its factorization.

34494676992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 489 counting only the distinct ones).

The product of its digits is 70543872, while the sum is 63.

The spelling of 34494676992 in words is "thirty-four billion, four hundred ninety-four million, six hundred seventy-six thousand, nine hundred ninety-two".