34071770240 has 64 divisors (see below), whose sum is σ = 81791174520. Its totient is φ = 13572096000.

The previous prime is 34071770221. The next prime is 34071770269. The reversal of 34071770240 is 4207717043.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 33953221696 + 118548544 = 184264^2 + 10888^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 34071770240.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43790 + ... + 264690.

Almost surely, 2^34071770240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34071770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40895587260).

34071770240 is an abundant number, since it is smaller than the sum of its proper divisors (47719404280).

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

34071770240 is a wasteful number, since it uses less digits than its factorization.

34071770240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221161 (or 221149 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 35.

The spelling of 34071770240 in words is "thirty-four billion, seventy-one million, seven hundred seventy thousand, two hundred forty".