34840575344640 has 1728 divisors, whose sum is σ = 129980783794176. Its totient is φ = 7945957933056.

The previous prime is 34840575344639. The next prime is 34840575344647. The reversal of 34840575344640 is 4644357504843.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34840575344647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 359181189072 + ... + 359181189168.

It is an arithmetic number, because the mean of its divisors is an integer number (75220360992).

Almost surely, 2^{34840575344640} is an apocalyptic number.

34840575344640 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 34840575344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64990391897088).

34840575344640 is an abundant number, since it is smaller than the sum of its proper divisors (95140208449536).

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

34840575344640 is an equidigital number, since it uses as much as digits as its factorization.

34840575344640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 57.

The spelling of 34840575344640 in words is "thirty-four trillion, eight hundred forty billion, five hundred seventy-five million, three hundred forty-four thousand, six hundred forty".