34560979425280 has 2304 divisors, whose sum is σ = 117393494400000. Its totient is φ = 9651903528960.

The previous prime is 34560979425239. The next prime is 34560979425281. The reversal of 34560979425280 is 8252497906543.

It is a super-2 number, since 2×34560979425280² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34560979425281) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 388325611476 + ... + 388325611564.

It is an arithmetic number, because the mean of its divisors is an integer number (50952037500).

Almost surely, 2^{34560979425280} 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 34560979425280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58696747200000).

34560979425280 is an abundant number, since it is smaller than the sum of its proper divisors (82832514974720).

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

34560979425280 is a wasteful number, since it uses less digits than its factorization.

34560979425280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 64.

The spelling of 34560979425280 in words is "thirty-four trillion, five hundred sixty billion, nine hundred seventy-nine million, four hundred twenty-five thousand, two hundred eighty".