34794489600000 has 1728 divisors, whose sum is σ = 140361729711840. Its totient is φ = 8559820800000.

The previous prime is 34794489599959. The next prime is 34794489600029. The reversal of 34794489600000 is 698449743.

It is a happy number.

34794489600000 is a `hidden beast` number, since 34 + 79 + 4 + 489 + 60 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a self number, because there is not a number n which added to its sum of digits gives 34794489600000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20217599140 + ... + 20217600860.

Almost surely, 2^{34794489600000} is an apocalyptic number.

34794489600000 is a gapful number since it is divisible by the number (30) 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 34794489600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70180864855920).

34794489600000 is an abundant number, since it is smaller than the sum of its proper divisors (105567240111840).

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

34794489600000 is an frugal number, since it uses more digits than its factorization.

34794489600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 34794489600000 in words is "thirty-four trillion, seven hundred ninety-four billion, four hundred eighty-nine million, six hundred thousand".