34384830480 has 2240 divisors, whose sum is σ = 174868807680. Its totient is φ = 6046617600.

The previous prime is 34384830443. The next prime is 34384830521. The reversal of 34384830480 is 8403848343.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 1109188065 + ... + 1109188095.

It is an arithmetic number, because the mean of its divisors is an integer number (78066432).

Almost surely, 2^34384830480 is an apocalyptic number.

34384830480 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 34384830480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87434403840).

34384830480 is an abundant number, since it is smaller than the sum of its proper divisors (140483977200).

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

34384830480 is a wasteful number, since it uses less digits than its factorization.

34384830480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 34384830480 in words is "thirty-four billion, three hundred eighty-four million, eight hundred thirty thousand, four hundred eighty".