34088880672 has 384 divisors, whose sum is σ = 127966003200. Its totient is φ = 8568115200.

The previous prime is 34088880643. The next prime is 34088880677. The reversal of 34088880672 is 27608888043.

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 (34088880677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2054104 + ... + 2070632.

It is an arithmetic number, because the mean of its divisors is an integer number (333244800).

Almost surely, 2^34088880672 is an apocalyptic number.

34088880672 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 34088880672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63983001600).

34088880672 is an abundant number, since it is smaller than the sum of its proper divisors (93877122528).

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

34088880672 is a wasteful number, since it uses less digits than its factorization.

34088880672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16597 (or 16583 counting only the distinct ones).

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

The spelling of 34088880672 in words is "thirty-four billion, eighty-eight million, eight hundred eighty thousand, six hundred seventy-two".