34405134528960 has 1344 divisors, whose sum is σ = 137912411040768. Its totient is φ = 7797061582848.

The previous prime is 34405134528901. The next prime is 34405134528991. The reversal of 34405134528960 is 6982543150443.

It is a happy number.

34405134528960 is a `hidden beast` number, since 3 + 4 + 4 + 0 + 51 + 3 + 4 + 528 + 9 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34405134528897 and 34405134528906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5441264359 + ... + 5441270681.

It is an arithmetic number, because the mean of its divisors is an integer number (102613401072).

Almost surely, 2^{34405134528960} is an apocalyptic number.

34405134528960 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 34405134528960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68956205520384).

34405134528960 is an abundant number, since it is smaller than the sum of its proper divisors (103507276511808).

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

34405134528960 is a wasteful number, since it uses less digits than its factorization.

34405134528960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6562 (or 6549 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 34405134528960 in words is "thirty-four trillion, four hundred five billion, one hundred thirty-four million, five hundred twenty-eight thousand, nine hundred sixty".