34493261045760 has 672 divisors, whose sum is σ = 135270793711872. Its totient is φ = 8361976135680.

The previous prime is 34493261045753. The next prime is 34493261045779. The reversal of 34493261045760 is 6754016239443.

34493261045760 is a `hidden beast` number, since 3 + 4 + 4 + 9 + 3 + 2 + 61 + 0 + 4 + 576 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 34493261045697 and 34493261045706.

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 47 ways as a sum of consecutive naturals, for example, 109328557 + ... + 109643603.

It is an arithmetic number, because the mean of its divisors is an integer number (201295823976).

Almost surely, 2^{34493261045760} is an apocalyptic number.

34493261045760 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 34493261045760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67635396855936).

34493261045760 is an abundant number, since it is smaller than the sum of its proper divisors (100777532666112).

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

34493261045760 is an equidigital number, since it uses as much as digits as its factorization.

34493261045760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315104 (or 315068 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 34493261045760 in words is "thirty-four trillion, four hundred ninety-three billion, two hundred sixty-one million, forty-five thousand, seven hundred sixty".