34454780880 has 320 divisors, whose sum is σ = 121492224000. Its totient is φ = 8007469056.

The previous prime is 34454780831. The next prime is 34454780903. The reversal of 34454780880 is 8808745443.

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, 21280711 + ... + 21282329.

It is an arithmetic number, because the mean of its divisors is an integer number (379663200).

Almost surely, 2^34454780880 is an apocalyptic number.

34454780880 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 34454780880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60746112000).

34454780880 is an abundant number, since it is smaller than the sum of its proper divisors (87037443120).

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

34454780880 is a wasteful number, since it uses less digits than its factorization.

34454780880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2026 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 51.

The spelling of 34454780880 in words is "thirty-four billion, four hundred fifty-four million, seven hundred eighty thousand, eight hundred eighty".