34769382912 has 240 divisors, whose sum is σ = 110393403120. Its totient is φ = 10534318080.

The previous prime is 34769382881. The next prime is 34769382913. The reversal of 34769382912 is 21928396743.

34769382912 is a `hidden beast` number, since 3 + 476 + 9 + 3 + 82 + 91 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34769382913) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6130414 + ... + 6136082.

It is an arithmetic number, because the mean of its divisors is an integer number (459972513).

Almost surely, 2^34769382912 is an apocalyptic number.

34769382912 is a gapful number since it is divisible by the number (32) 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 34769382912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55196701560).

34769382912 is an abundant number, since it is smaller than the sum of its proper divisors (75624020208).

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

34769382912 is an equidigital number, since it uses as much as digits as its factorization.

34769382912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5726 (or 5685 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The spelling of 34769382912 in words is "thirty-four billion, seven hundred sixty-nine million, three hundred eighty-two thousand, nine hundred twelve".