34025382264384 has 189 divisors, whose sum is σ = 113453758256241. Its totient is φ = 9721257799680.

The previous prime is 34025382264343. The next prime is 34025382264403. The reversal of 34025382264384 is 48346228352043.

The square root of 34025382264384 is 5833128.

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

34025382264384 is a `hidden beast` number, since 3 + 4 + 0 + 2 + 5 + 38 + 226 + 4 + 384 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19863708024384 + 14161674240000 = 4456872^2 + 3763200^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34025382264384.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 979948144 + ... + 979982864.

Almost surely, 2^{34025382264384} is an apocalyptic number.

34025382264384 is the 5833128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34025382264384

34025382264384 is an abundant number, since it is smaller than the sum of its proper divisors (79428375991857).

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

34025382264384 is an frugal number, since it uses more digits than its factorization.

34025382264384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69474 (or 34733 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 54.

The spelling of 34025382264384 in words is "thirty-four trillion, twenty-five billion, three hundred eighty-two million, two hundred sixty-four thousand, three hundred eighty-four".