34509852480 has 112 divisors (see below), whose sum is σ = 110357472960. Its totient is φ = 9136386048.

The previous prime is 34509852473. The next prime is 34509852493. The reversal of 34509852480 is 8425890543.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4132 + ... + 262748.

It is an arithmetic number, because the mean of its divisors is an integer number (985334580).

Almost surely, 2^34509852480 is an apocalyptic number.

34509852480 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 34509852480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55178736480).

34509852480 is an abundant number, since it is smaller than the sum of its proper divisors (75847620480).

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

34509852480 is a wasteful number, since it uses less digits than its factorization.

34509852480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258776 (or 258766 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 34509852480 in words is "thirty-four billion, five hundred nine million, eight hundred fifty-two thousand, four hundred eighty".