34082284672 has 128 divisors (see below), whose sum is σ = 72511718400. Its totient is φ = 15922283520.

The previous prime is 34082284669. The next prime is 34082284711. The reversal of 34082284672 is 27648228043.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×34082284672² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 25838829 + ... + 25840147.

It is an arithmetic number, because the mean of its divisors is an integer number (566497800).

Almost surely, 2^34082284672 is an apocalyptic number.

34082284672 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 34082284672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36255859200).

34082284672 is an abundant number, since it is smaller than the sum of its proper divisors (38429433728).

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

34082284672 is a wasteful number, since it uses less digits than its factorization.

34082284672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 46.

The spelling of 34082284672 in words is "thirty-four billion, eighty-two million, two hundred eighty-four thousand, six hundred seventy-two".