34981878044304 has 225 divisors, whose sum is σ = 106869354335667. Its totient is φ = 11045631313728.

The previous prime is 34981878044287. The next prime is 34981878044327. The reversal of 34981878044304 is 40344087818943.

The square root of 34981878044304 is 5914548.

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

34981878044304 is a `hidden beast` number, since 3 + 4 + 9 + 8 + 187 + 8 + 0 + 443 + 0 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4045546509 + ... + 4045555155.

Almost surely, 2^{34981878044304} is an apocalyptic number.

34981878044304 is the 5914548-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34981878044304

34981878044304 is an abundant number, since it is smaller than the sum of its proper divisors (71887476291363).

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

34981878044304 is an frugal number, since it uses more digits than its factorization.

34981878044304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17352 (or 8671 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 34981878044304 in words is "thirty-four trillion, nine hundred eighty-one billion, eight hundred seventy-eight million, forty-four thousand, three hundred four".