34408642028544 has 1485 divisors, whose sum is σ = 122897506869033. Its totient is φ = 9271294083072.

The previous prime is 34408642028531. The next prime is 34408642028591. The reversal of 34408642028544 is 44582024680443.

The square root of 34408642028544 is 5865888.

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

34408642028544 is a `hidden beast` number, since 3 + 440 + 8 + 64 + 20 + 2 + 85 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18043057234944 + 16365584793600 = 4247712^2 + 4045440^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 800200977387 + ... + 800200977429.

Almost surely, 2^{34408642028544} is an apocalyptic number.

34408642028544 is the 5865888-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34408642028544

34408642028544 is an abundant number, since it is smaller than the sum of its proper divisors (88488864840489).

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

34408642028544 is an frugal number, since it uses more digits than its factorization.

34408642028544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 23592960, while the sum is 54.

The spelling of 34408642028544 in words is "thirty-four trillion, four hundred eight billion, six hundred forty-two million, twenty-eight thousand, five hundred forty-four".