34063856640 has 1056 divisors, whose sum is σ = 141630128640. Its totient is φ = 7763558400.

The previous prime is 34063856587. The next prime is 34063856689. The reversal of 34063856640 is 4665836043.

34063856640 is a `hidden beast` number, since 3 + 4 + 0 + 638 + 5 + 6 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 260029375 + ... + 260029505.

It is an arithmetic number, because the mean of its divisors is an integer number (134119440).

Almost surely, 2^34063856640 is an apocalyptic number.

34063856640 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 34063856640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70815064320).

34063856640 is an abundant number, since it is smaller than the sum of its proper divisors (107566272000).

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

34063856640 is a wasteful number, since it uses less digits than its factorization.

34063856640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 34063856640 in words is "thirty-four billion, sixty-three million, eight hundred fifty-six thousand, six hundred forty".