34885483883712 has 2688 divisors, whose sum is σ = 140606073676800. Its totient is φ = 8369115955200.

The previous prime is 34885483883651. The next prime is 34885483883713. The reversal of 34885483883712 is 21738838458843.

34885483883712 is a `hidden beast` number, since 3 + 4 + 8 + 8 + 548 + 3 + 8 + 8 + 3 + 71 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (34885483883713) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 66958702012 + ... + 66958702532.

Almost surely, 2^{34885483883712} is an apocalyptic number.

34885483883712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34885483883712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70303036838400).

34885483883712 is an abundant number, since it is smaller than the sum of its proper divisors (105720589793088).

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

34885483883712 is a wasteful number, since it uses less digits than its factorization.

34885483883712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 677 counting only the distinct ones).

The product of its digits is 990904320, while the sum is 72.

The spelling of 34885483883712 in words is "thirty-four trillion, eight hundred eighty-five billion, four hundred eighty-three million, eight hundred eighty-three thousand, seven hundred twelve".