34893089280 has 560 divisors, whose sum is σ = 143408035584. Its totient is φ = 7972577280.

The previous prime is 34893089267. The next prime is 34893089291. The reversal of 34893089280 is 8298039843.

It is a happy number.

34893089280 is a `hidden beast` number, since 3 + 489 + 3 + 0 + 89 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 13062345 + ... + 13065015.

Almost surely, 2^34893089280 is an apocalyptic number.

34893089280 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 34893089280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71704017792).

34893089280 is an abundant number, since it is smaller than the sum of its proper divisors (108514946304).

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

34893089280 is an frugal number, since it uses more digits than its factorization.

34893089280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2719 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 34893089280 in words is "thirty-four billion, eight hundred ninety-three million, eighty-nine thousand, two hundred eighty".