34245435841600 has 63 divisors (see below), whose sum is σ = 84265751550837. Its totient is φ = 13698080705280.

The previous prime is 34245435841543. The next prime is 34245435841613. The reversal of 34245435841600 is 614853454243.

The square root of 34245435841600 is 5851960.

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., 12328356902976 + 21917078938624 = 3511176^2 + 4681568^2 .

It is a super-2 number, since 2×34245435841600² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

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, 234005251 + ... + 234151549.

Almost surely, 2^{34245435841600} is an apocalyptic number.

34245435841600 is the 5851960-th square number.

It is an amenable number.

34245435841600 is an abundant number, since it is smaller than the sum of its proper divisors (50020315709237).

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

34245435841600 is an frugal number, since it uses more digits than its factorization.

34245435841600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292620 (or 146306 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 49.

The spelling of 34245435841600 in words is "thirty-four trillion, two hundred forty-five billion, four hundred thirty-five million, eight hundred forty-one thousand, six hundred".