34788182832 has 320 divisors, whose sum is σ = 114252687360. Its totient is φ = 10039873536.

The previous prime is 34788182831. The next prime is 34788182833. The reversal of 34788182832 is 23828188743.

34788182832 is a `hidden beast` number, since 347 + 8 + 8 + 18 + 283 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (34788182831) and next prime (34788182833).

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

It is not an unprimeable number, because it can be changed into a prime (34788182831) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 44203143 + ... + 44203929.

It is an arithmetic number, because the mean of its divisors is an integer number (357039648).

Almost surely, 2^34788182832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34788182832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57126343680).

34788182832 is an abundant number, since it is smaller than the sum of its proper divisors (79464504528).

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

34788182832 is a wasteful number, since it uses less digits than its factorization.

34788182832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1285 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The spelling of 34788182832 in words is "thirty-four billion, seven hundred eighty-eight million, one hundred eighty-two thousand, eight hundred thirty-two".