34775386328280 has 256 divisors, whose sum is σ = 114568622784000. Its totient is φ = 8392363499520.

The previous prime is 34775386328231. The next prime is 34775386328303. The reversal of 34775386328280 is 8282368357743.

It is a super-2 number, since 2×34775386328280² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21265296 + ... + 22842144.

It is an arithmetic number, because the mean of its divisors is an integer number (447533682750).

Almost surely, 2^{34775386328280} is an apocalyptic number.

34775386328280 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 34775386328280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57284311392000).

34775386328280 is an abundant number, since it is smaller than the sum of its proper divisors (79793236455720).

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

34775386328280 is a wasteful number, since it uses less digits than its factorization.

34775386328280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577154 (or 1577150 counting only the distinct ones).

The product of its (nonzero) digits is 325140480, while the sum is 66.

The spelling of 34775386328280 in words is "thirty-four trillion, seven hundred seventy-five billion, three hundred eighty-six million, three hundred twenty-eight thousand, two hundred eighty".