34768106496 has 352 divisors, whose sum is σ = 107806483200. Its totient is φ = 11054776320.

The previous prime is 34768106491. The next prime is 34768106501. The reversal of 34768106496 is 69460186743.

34768106496 is a `hidden beast` number, since 3 + 4 + 76 + 81 + 0 + 6 + 496 = 666.

It is an interprime number because it is at equal distance from previous prime (34768106491) and next prime (34768106501).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34768106491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82584366 + ... + 82584786.

Almost surely, 2^34768106496 is an apocalyptic number.

34768106496 is a gapful number since it is divisible by the number (36) 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 34768106496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53903241600).

34768106496 is an abundant number, since it is smaller than the sum of its proper divisors (73038376704).

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

34768106496 is a wasteful number, since it uses less digits than its factorization.

34768106496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 34768106496 in words is "thirty-four billion, seven hundred sixty-eight million, one hundred six thousand, four hundred ninety-six".