34025381784 has 96 divisors (see below), whose sum is σ = 94401815040. Its totient is φ = 11067840000.

The previous prime is 34025381681. The next prime is 34025381827. The reversal of 34025381784 is 48718352043.

34025381784 is a `hidden beast` number, since 3 + 40 + 2 + 538 + 1 + 78 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 527284 + ... + 588284.

It is an arithmetic number, because the mean of its divisors is an integer number (983352240).

Almost surely, 2^34025381784 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 34025381784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47200907520).

34025381784 is an abundant number, since it is smaller than the sum of its proper divisors (60376433256).

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

34025381784 is a wasteful number, since it uses less digits than its factorization.

34025381784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61201 (or 61194 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 34025381784 in words is "thirty-four billion, twenty-five million, three hundred eighty-one thousand, seven hundred eighty-four".