34541183340 has 144 divisors (see below), whose sum is σ = 110871161856. Its totient is φ = 8686339200.

The previous prime is 34541183297. The next prime is 34541183429. The reversal of 34541183340 is 4338114543.

34541183340 is a `hidden beast` number, since 3 + 4 + 541 + 1 + 83 + 34 + 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 = 34541183295 and 34541183304.

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 47 ways as a sum of consecutive naturals, for example, 235185 + ... + 352695.

It is an arithmetic number, because the mean of its divisors is an integer number (769938624).

Almost surely, 2^34541183340 is an apocalyptic number.

34541183340 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 34541183340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55435580928).

34541183340 is an abundant number, since it is smaller than the sum of its proper divisors (76329978516).

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

34541183340 is a wasteful number, since it uses less digits than its factorization.

34541183340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117620 (or 117615 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 34541183340 its reverse (4338114543), we get a palindrome (38879297883).

The spelling of 34541183340 in words is "thirty-four billion, five hundred forty-one million, one hundred eighty-three thousand, three hundred forty".