34284491247616 has 117 divisors (see below), whose sum is σ = 69065634195103. Its totient is φ = 17016895447040.

The previous prime is 34284491247581. The next prime is 34284491247667. The reversal of 34284491247616 is 61674219448243.

The square root of 34284491247616 is 5855296.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

Its product of digits (55738368) is a multiple of the sum of its prime divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 71575138065 + ... + 71575138543.

Almost surely, 2^{34284491247616} is an apocalyptic number.

34284491247616 is the 5855296-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34284491247616

34284491247616 is an abundant number, since it is smaller than the sum of its proper divisors (34781142947487).

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

34284491247616 is an frugal number, since it uses more digits than its factorization.

34284491247616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 672 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 61.

The spelling of 34284491247616 in words is "thirty-four trillion, two hundred eighty-four billion, four hundred ninety-one million, two hundred forty-seven thousand, six hundred sixteen".