34800768146100 has 216 divisors, whose sum is σ = 112551901529760. Its totient is φ = 8293556972800.

The previous prime is 34800768146087. The next prime is 34800768146101. The reversal of 34800768146100 is 164186700843.

It is a super-2 number, since 2×34800768146100² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34800768146100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34800768146101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5982867 + ... + 10266266.

Almost surely, 2^{34800768146100} is an apocalyptic number.

34800768146100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34800768146100 is an abundant number, since it is smaller than the sum of its proper divisors (77751133383660).

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

34800768146100 is a wasteful number, since it uses less digits than its factorization.

34800768146100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16249231 (or 16249213 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 34800768146100 in words is "thirty-four trillion, eight hundred billion, seven hundred sixty-eight million, one hundred forty-six thousand, one hundred".