34445509472 has 72 divisors (see below), whose sum is σ = 74998686168. Its totient is φ = 15560709120.

The previous prime is 34445509459. The next prime is 34445509487. The reversal of 34445509472 is 27490554443.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 603848 + ... + 658424.

It is an arithmetic number, because the mean of its divisors is an integer number (1041648419).

Almost surely, 2^34445509472 is an apocalyptic number.

34445509472 is a gapful number since it is divisible by the number (32) 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 34445509472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37499343084).

34445509472 is an abundant number, since it is smaller than the sum of its proper divisors (40553176696).

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

34445509472 is a wasteful number, since it uses less digits than its factorization.

34445509472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54772 (or 54753 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 47.

The spelling of 34445509472 in words is "thirty-four billion, four hundred forty-five million, five hundred nine thousand, four hundred seventy-two".