34485610140 has 96 divisors (see below), whose sum is σ = 107386493760. Its totient is φ = 9187769088.

The previous prime is 34485610111. The next prime is 34485610141. The reversal of 34485610140 is 4101658443.

34485610140 is a `hidden beast` number, since 34 + 4 + 8 + 5 + 610 + 1 + 4 + 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 = 34485610095 and 34485610104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34485610141) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 574594 + ... + 631766.

It is an arithmetic number, because the mean of its divisors is an integer number (1118609310).

Almost surely, 2^34485610140 is an apocalyptic number.

34485610140 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 34485610140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53693246880).

34485610140 is an abundant number, since it is smaller than the sum of its proper divisors (72900883620).

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

34485610140 is a wasteful number, since it uses less digits than its factorization.

34485610140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58308 (or 58300 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 34485610140 in words is "thirty-four billion, four hundred eighty-five million, six hundred ten thousand, one hundred forty".