34980779424780 has 960 divisors, whose sum is σ = 136654974796032. Its totient is φ = 7307061166080.

The previous prime is 34980779424769. The next prime is 34980779424809. The reversal of 34980779424780 is 8742497708943.

34980779424780 is a `hidden beast` number, since 3 + 4 + 9 + 80 + 7 + 79 + 4 + 2 + 478 + 0 = 666.

It is a super-2 number, since 2×34980779424780² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34980779424699 and 34980779424708.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3716215354 + ... + 3716224766.

Almost surely, 2^{34980779424780} is an apocalyptic number.

34980779424780 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 34980779424780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68327487398016).

34980779424780 is an abundant number, since it is smaller than the sum of its proper divisors (101674195371252).

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

34980779424780 is a wasteful number, since it uses less digits than its factorization.

34980779424780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10016 (or 10005 counting only the distinct ones).

The product of its (nonzero) digits is 682795008, while the sum is 72.

The spelling of 34980779424780 in words is "thirty-four trillion, nine hundred eighty billion, seven hundred seventy-nine million, four hundred twenty-four thousand, seven hundred eighty".