34450116480 has 1280 divisors, whose sum is σ = 146303055360. Its totient is φ = 7644119040.

The previous prime is 34450116469. The next prime is 34450116487. The reversal of 34450116480 is 8461105443.

34450116480 is a `hidden beast` number, since 3 + 4 + 4 + 5 + 0 + 1 + 1 + 648 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34450116487) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 355155792 + ... + 355155888.

It is an arithmetic number, because the mean of its divisors is an integer number (114299262).

Almost surely, 2^34450116480 is an apocalyptic number.

34450116480 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 34450116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73151527680).

34450116480 is an abundant number, since it is smaller than the sum of its proper divisors (111852938880).

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

34450116480 is a wasteful number, since it uses less digits than its factorization.

34450116480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 34450116480 in words is "thirty-four billion, four hundred fifty million, one hundred sixteen thousand, four hundred eighty".