34055421408 has 192 divisors, whose sum is σ = 103856256000. Its totient is φ = 10836334080.

The previous prime is 34055421403. The next prime is 34055421427. The reversal of 34055421408 is 80412455043.

It is a happy number.

34055421408 is a `hidden beast` number, since 3 + 40 + 554 + 21 + 40 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34055421403) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 11901898 + ... + 11904758.

It is an arithmetic number, because the mean of its divisors is an integer number (540918000).

Almost surely, 2^34055421408 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 34055421408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51928128000).

34055421408 is an abundant number, since it is smaller than the sum of its proper divisors (69800834592).

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

34055421408 is a wasteful number, since it uses less digits than its factorization.

34055421408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3502 (or 3488 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 34055421408 in words is "thirty-four billion, fifty-five million, four hundred twenty-one thousand, four hundred eight".