34753625088 has 528 divisors, whose sum is σ = 117091282176. Its totient is φ = 8971223040.

The previous prime is 34753625069. The next prime is 34753625149. The reversal of 34753625088 is 88052635743.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 34753625088.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 265294783 + ... + 265294913.

It is an arithmetic number, because the mean of its divisors is an integer number (221763792).

Almost surely, 2^34753625088 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 34753625088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58545641088).

34753625088 is an abundant number, since it is smaller than the sum of its proper divisors (82337657088).

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

34753625088 is a wasteful number, since it uses less digits than its factorization.

34753625088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 51.

The spelling of 34753625088 in words is "thirty-four billion, seven hundred fifty-three million, six hundred twenty-five thousand, eighty-eight".