34894818720 has 144 divisors (see below), whose sum is σ = 120756085632. Its totient is φ = 9174197760.

The previous prime is 34894818683. The next prime is 34894818727. The reversal of 34894818720 is 2781849843.

It is a happy number.

34894818720 is a `hidden beast` number, since 3 + 4 + 89 + 481 + 87 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (34894818727) 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 23 ways as a sum of consecutive naturals, for example, 68412 + ... + 272891.

It is an arithmetic number, because the mean of its divisors is an integer number (838583928).

Almost surely, 2^34894818720 is an apocalyptic number.

34894818720 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 34894818720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60378042816).

34894818720 is an abundant number, since it is smaller than the sum of its proper divisors (85861266912).

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

34894818720 is a wasteful number, since it uses less digits than its factorization.

34894818720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341395 (or 341384 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 34894818720 in words is "thirty-four billion, eight hundred ninety-four million, eight hundred eighteen thousand, seven hundred twenty".