34427636089840 has 400 divisors, whose sum is σ = 95535995304960. Its totient is φ = 11533579921920.

The previous prime is 34427636089807. The next prime is 34427636089841. The reversal of 34427636089840 is 4898063672443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34427636089841) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1892555145 + ... + 1892573335.

Almost surely, 2^{34427636089840} 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 34427636089840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47767997652480).

34427636089840 is an abundant number, since it is smaller than the sum of its proper divisors (61108359215120).

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

34427636089840 is a wasteful number, since it uses less digits than its factorization.

34427636089840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18458 (or 18431 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 64.

The spelling of 34427636089840 in words is "thirty-four trillion, four hundred twenty-seven billion, six hundred thirty-six million, eighty-nine thousand, eight hundred forty".