34725765568 has 224 divisors, whose sum is σ = 81418176000. Its totient is φ = 14550036480.

The previous prime is 34725765553. The next prime is 34725765623. The reversal of 34725765568 is 86556752743.

It is a happy number.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96728973 + ... + 96729331.

It is an arithmetic number, because the mean of its divisors is an integer number (363474000).

Almost surely, 2^34725765568 is an apocalyptic number.

34725765568 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34725765568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40709088000).

34725765568 is an abundant number, since it is smaller than the sum of its proper divisors (46692410432).

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

34725765568 is a wasteful number, since it uses less digits than its factorization.

34725765568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 633 counting only the distinct ones).

The product of its digits is 42336000, while the sum is 58.

The spelling of 34725765568 in words is "thirty-four billion, seven hundred twenty-five million, seven hundred sixty-five thousand, five hundred sixty-eight".