34362689905440 has 768 divisors, whose sum is σ = 137220215408640. Its totient is φ = 7956280442880.

The previous prime is 34362689905421. The next prime is 34362689905451. The reversal of 34362689905440 is 4450998626343.

34362689905440 is a `hidden beast` number, since 3 + 4 + 3 + 6 + 2 + 6 + 89 + 9 + 0 + 544 + 0 = 666.

It is a super-2 number, since 2×34362689905440² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1786271502 + ... + 1786290738.

It is an arithmetic number, because the mean of its divisors is an integer number (178672155480).

Almost surely, 2^{34362689905440} is an apocalyptic number.

34362689905440 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 34362689905440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68610107704320).

34362689905440 is an abundant number, since it is smaller than the sum of its proper divisors (102857525503200).

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

34362689905440 is a wasteful number, since it uses less digits than its factorization.

34362689905440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21162 (or 21148 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 63.

The spelling of 34362689905440 in words is "thirty-four trillion, three hundred sixty-two billion, six hundred eighty-nine million, nine hundred five thousand, four hundred forty".