34063381440 has 896 divisors, whose sum is σ = 143787571200. Its totient is φ = 7493713920.

The previous prime is 34063381439. The next prime is 34063381511. The reversal of 34063381440 is 4418336043.

It is a happy number.

34063381440 is a `hidden beast` number, since 3 + 4 + 0 + 633 + 8 + 14 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34063381395 and 34063381404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46854357 + ... + 46855083.

It is an arithmetic number, because the mean of its divisors is an integer number (160477200).

Almost surely, 2^34063381440 is an apocalyptic number.

34063381440 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 34063381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71893785600).

34063381440 is an abundant number, since it is smaller than the sum of its proper divisors (109724189760).

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

34063381440 is a wasteful number, since it uses less digits than its factorization.

34063381440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 34063381440 in words is "thirty-four billion, sixty-three million, three hundred eighty-one thousand, four hundred forty".