34273788120 has 768 divisors, whose sum is σ = 138442867200. Its totient is φ = 7472424960.

The previous prime is 34273788103. The next prime is 34273788121. The reversal of 34273788120 is 2188737243.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34273788121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 86331762 + ... + 86332158.

It is an arithmetic number, because the mean of its divisors is an integer number (180264150).

Almost surely, 2^34273788120 is an apocalyptic number.

34273788120 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 34273788120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69221433600).

34273788120 is an abundant number, since it is smaller than the sum of its proper divisors (104169079080).

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

34273788120 is a wasteful number, since it uses less digits than its factorization.

34273788120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 34273788120 in words is "thirty-four billion, two hundred seventy-three million, seven hundred eighty-eight thousand, one hundred twenty".