34845284016 has 120 divisors (see below), whose sum is σ = 100171046976. Its totient is φ = 11300705280.

The previous prime is 34845284003. The next prime is 34845284041. The reversal of 34845284016 is 61048254843.

34845284016 is a `hidden beast` number, since 3 + 4 + 84 + 528 + 40 + 1 + 6 = 666.

It is a super-3 number, since 3×34845284016³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2194281 + ... + 2210103.

Almost surely, 2^34845284016 is an apocalyptic number.

34845284016 is a gapful number since it is divisible by the number (36) 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 34845284016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50085523488).

34845284016 is an abundant number, since it is smaller than the sum of its proper divisors (65325762960).

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

34845284016 is a wasteful number, since it uses less digits than its factorization.

34845284016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16251 (or 16242 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 34845284016 in words is "thirty-four billion, eight hundred forty-five million, two hundred eighty-four thousand, sixteen".