34800840000 has 700 divisors, whose sum is σ = 134802274464. Its totient is φ = 8857728000.

The previous prime is 34800839993. The next prime is 34800840031. The reversal of 34800840000 is 4800843.

It is a super-2 number, since 2×34800840000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 74519767 + ... + 74520233.

Almost surely, 2^34800840000 is an apocalyptic number.

34800840000 is a gapful number since it is divisible by the number (30) 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 34800840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67401137232).

34800840000 is an abundant number, since it is smaller than the sum of its proper divisors (100001434464).

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

34800840000 is an equidigital number, since it uses as much as digits as its factorization.

34800840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 34800840000 in words is "thirty-four billion, eight hundred million, eight hundred forty thousand".