34375242240 has 320 divisors, whose sum is σ = 122734465920. Its totient is φ = 9119416320.

The previous prime is 34375242193. The next prime is 34375242259. The reversal of 34375242240 is 4224257343.

34375242240 is a `hidden beast` number, since 3 + 4 + 375 + 2 + 42 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 = 34375242195 and 34375242204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14583142 + ... + 14585498.

It is an arithmetic number, because the mean of its divisors is an integer number (383545206).

Almost surely, 2^34375242240 is an apocalyptic number.

34375242240 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 34375242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61367232960).

34375242240 is an abundant number, since it is smaller than the sum of its proper divisors (88359223680).

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

34375242240 is a wasteful number, since it uses less digits than its factorization.

34375242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2600 (or 2578 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 36.

Adding to 34375242240 its reverse (4224257343), we get a palindrome (38599499583).

The spelling of 34375242240 in words is "thirty-four billion, three hundred seventy-five million, two hundred forty-two thousand, two hundred forty".