34202098241536 has 351 divisors, whose sum is σ = 74593817975131. Its totient is φ = 15678191828992.

The previous prime is 34202098241503. The next prime is 34202098241539. The reversal of 34202098241536 is 63514289020243.

The square root of 34202098241536 is 5848256.

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

It can be written as a sum of positive squares in 4 ways, for example, as 429077401600 + 33773020839936 = 655040^2 + 5811456^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34202098241536.

It is not an unprimeable number, because it can be changed into a prime (34202098241539) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 249650352060 + ... + 249650352196.

Almost surely, 2^{34202098241536} is an apocalyptic number.

34202098241536 is the 5848256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34202098241536

34202098241536 is an abundant number, since it is smaller than the sum of its proper divisors (40391719733595).

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

34202098241536 is an frugal number, since it uses more digits than its factorization.

34202098241536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 49.

The spelling of 34202098241536 in words is "thirty-four trillion, two hundred two billion, ninety-eight million, two hundred forty-one thousand, five hundred thirty-six".