34569942960 has 480 divisors, whose sum is σ = 127351224000. Its totient is φ = 7733698560.

The previous prime is 34569942941. The next prime is 34569942961. The reversal of 34569942960 is 6924996543.

It is a self number, because there is not a number n which added to its sum of digits gives 34569942960.

It is not an unprimeable number, because it can be changed into a prime (34569942961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 190994070 + ... + 190994250.

It is an arithmetic number, because the mean of its divisors is an integer number (265315050).

Almost surely, 2^34569942960 is an apocalyptic number.

34569942960 is a gapful number since it is divisible by the number (30) 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 34569942960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63675612000).

34569942960 is an abundant number, since it is smaller than the sum of its proper divisors (92781281040).

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

34569942960 is a wasteful number, since it uses less digits than its factorization.

34569942960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 57.

The spelling of 34569942960 in words is "thirty-four billion, five hundred sixty-nine million, nine hundred forty-two thousand, nine hundred sixty".