34875888768 has 480 divisors, whose sum is σ = 121674767760. Its totient is φ = 9943202304.

The previous prime is 34875888731. The next prime is 34875888769. The reversal of 34875888768 is 86788857843.

34875888768 is a `hidden beast` number, since 3 + 487 + 5 + 8 + 8 + 87 + 68 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 34875888696 and 34875888705.

It is not an unprimeable number, because it can be changed into a prime (34875888769) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 74680471 + ... + 74680937.

Almost surely, 2^34875888768 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 34875888768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60837383880).

34875888768 is an abundant number, since it is smaller than the sum of its proper divisors (86798878992).

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

34875888768 is an frugal number, since it uses more digits than its factorization.

34875888768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 479 counting only the distinct ones).

The product of its digits is 578027520, while the sum is 72.

The spelling of 34875888768 in words is "thirty-four billion, eight hundred seventy-five million, eight hundred eighty-eight thousand, seven hundred sixty-eight".