34219130482944 has 567 divisors, whose sum is σ = 112657925594487. Its totient is φ = 10361009894400.

The previous prime is 34219130482907. The next prime is 34219130483023. The reversal of 34219130482944 is 44928403191243.

The square root of 34219130482944 is 5849712.

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

34219130482944 is a `hidden beast` number, since 3 + 4 + 2 + 1 + 91 + 30 + 482 + 9 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 27797830809 + ... + 27797832039.

Almost surely, 2^{34219130482944} is an apocalyptic number.

34219130482944 is the 5849712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34219130482944

34219130482944 is an abundant number, since it is smaller than the sum of its proper divisors (78438795111543).

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

34219130482944 is an frugal number, since it uses more digits than its factorization.

34219130482944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2518 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 34219130482944 in words is "thirty-four trillion, two hundred nineteen billion, one hundred thirty million, four hundred eighty-two thousand, nine hundred forty-four".