34985727504 has 240 divisors, whose sum is σ = 121577968512. Its totient is φ = 9144963072.

The previous prime is 34985727503. The next prime is 34985727509. The reversal of 34985727504 is 40572758943.

It is a happy number.

34985727504 is a `hidden beast` number, since 34 + 9 + 85 + 7 + 27 + 504 = 666.

It is a super-2 number, since 2×34985727504² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34985727503) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1468939 + ... + 1492565.

Almost surely, 2^34985727504 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 34985727504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60788984256).

34985727504 is an abundant number, since it is smaller than the sum of its proper divisors (86592241008).

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

34985727504 is a wasteful number, since it uses less digits than its factorization.

34985727504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23774 (or 23765 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 34985727504 in words is "thirty-four billion, nine hundred eighty-five million, seven hundred twenty-seven thousand, five hundred four".