34709180416 has 117 divisors (see below), whose sum is σ = 72160244509. Its totient is φ = 16692838400.

The previous prime is 34709180393. The next prime is 34709180417. The reversal of 34709180416 is 61408190743.

The square root of 34709180416 is 186304.

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

It can be written as a sum of positive squares in only one way, i.e., 1672482816 + 33036697600 = 40896^2 + 181760^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34709180417) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 488861661 + ... + 488861731.

Almost surely, 2^34709180416 is an apocalyptic number.

34709180416 is the 186304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34709180416

34709180416 is an abundant number, since it is smaller than the sum of its proper divisors (37451064093).

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

34709180416 is an frugal number, since it uses more digits than its factorization.

34709180416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 34709180416 in words is "thirty-four billion, seven hundred nine million, one hundred eighty thousand, four hundred sixteen".