34994788992 has 320 divisors, whose sum is σ = 106688197440. Its totient is φ = 11383787520.

The previous prime is 34994788909. The next prime is 34994789047. The reversal of 34994788992 is 29988749943.

34994788992 is a `hidden beast` number, since 3 + 499 + 47 + 8 + 8 + 9 + 92 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 34994788992.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 100849363 + ... + 100849709.

It is an arithmetic number, because the mean of its divisors is an integer number (333400617).

Almost surely, 2^34994788992 is an apocalyptic number.

34994788992 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 34994788992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53344098720).

34994788992 is an abundant number, since it is smaller than the sum of its proper divisors (71693408448).

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

34994788992 is a wasteful number, since it uses less digits than its factorization.

34994788992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 560 counting only the distinct ones).

The product of its digits is 282175488, while the sum is 72.

The spelling of 34994788992 in words is "thirty-four billion, nine hundred ninety-four million, seven hundred eighty-eight thousand, nine hundred ninety-two".