34709845875840 has 192 divisors, whose sum is σ = 119924921221560. Its totient is φ = 9250747416576.

The previous prime is 34709845875821. The next prime is 34709845875847. The reversal of 34709845875840 is 4857854890743.

It is a happy number.

34709845875840 is a `hidden beast` number, since 3 + 4 + 7 + 0 + 98 + 458 + 7 + 5 + 84 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33102163888704 + 1607681987136 = 5753448^2 + 1267944^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (34709845875847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8539962 + ... + 11931078.

Almost surely, 2^{34709845875840} is an apocalyptic number.

34709845875840 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 34709845875840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59962460610780).

34709845875840 is an abundant number, since it is smaller than the sum of its proper divisors (85215075345720).

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

34709845875840 is a wasteful number, since it uses less digits than its factorization.

34709845875840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3392919 (or 3392904 counting only the distinct ones).

The product of its (nonzero) digits is 1083801600, while the sum is 72.

The spelling of 34709845875840 in words is "thirty-four trillion, seven hundred nine billion, eight hundred forty-five million, eight hundred seventy-five thousand, eight hundred forty".