34947728944128 has 2816 divisors, whose sum is σ = 143226246266880. Its totient is φ = 8126654054400.

The previous prime is 34947728944111. The next prime is 34947728944169. The reversal of 34947728944128 is 82144982774943.

34947728944128 is a `hidden beast` number, since 3 + 4 + 9 + 477 + 2 + 8 + 94 + 41 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 214403244975 + ... + 214403245137.

Almost surely, 2^{34947728944128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34947728944128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71613123133440).

34947728944128 is an abundant number, since it is smaller than the sum of its proper divisors (108278517322752).

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

34947728944128 is a wasteful number, since it uses less digits than its factorization.

34947728944128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 387 counting only the distinct ones).

The product of its digits is 780337152, while the sum is 72.

The spelling of 34947728944128 in words is "thirty-four trillion, nine hundred forty-seven billion, seven hundred twenty-eight million, nine hundred forty-four thousand, one hundred twenty-eight".