34743312421704 has 504 divisors, whose sum is σ = 105668295468930. Its totient is φ = 10702882667520.

The previous prime is 34743312421681. The next prime is 34743312421711. The reversal of 34743312421704 is 40712421334743.

34743312421704 is a `hidden beast` number, since 3 + 4 + 7 + 4 + 331 + 242 + 1 + 70 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 23521549409604 + 11221763012100 = 4849902^2 + 3349890^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 34743312421704.

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 3539091804 + ... + 3539101620.

Almost surely, 2^{34743312421704} 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 34743312421704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52834147734465).

34743312421704 is an abundant number, since it is smaller than the sum of its proper divisors (70924983047226).

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

34743312421704 is an equidigital number, since it uses as much as digits as its factorization.

34743312421704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9961 (or 9882 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 34743312421704 in words is "thirty-four trillion, seven hundred forty-three billion, three hundred twelve million, four hundred twenty-one thousand, seven hundred four".