34486230240 has 1152 divisors, whose sum is σ = 154581073920. Its totient is φ = 6793113600.

The previous prime is 34486230239. The next prime is 34486230253. The reversal of 34486230240 is 4203268443.

34486230240 is a `hidden beast` number, since 3 + 4 + 4 + 8 + 623 + 0 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34486230195 and 34486230204.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 271545057 + ... + 271545183.

It is an arithmetic number, because the mean of its divisors is an integer number (134184960).

Almost surely, 2^34486230240 is an apocalyptic number.

34486230240 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 34486230240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77290536960).

34486230240 is an abundant number, since it is smaller than the sum of its proper divisors (120094843680).

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

34486230240 is a wasteful number, since it uses less digits than its factorization.

34486230240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 34486230240 its reverse (4203268443), we get a palindrome (38689498683).

The spelling of 34486230240 in words is "thirty-four billion, four hundred eighty-six million, two hundred thirty thousand, two hundred forty".