34018064640 has 288 divisors, whose sum is σ = 137963132160. Its totient is φ = 7775502336.

The previous prime is 34018064611. The next prime is 34018064699. The reversal of 34018064640 is 4646081043.

34018064640 is a `hidden beast` number, since 3 + 4 + 0 + 1 + 8 + 0 + 6 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 34018064595 and 34018064604.

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 31 ways as a sum of consecutive naturals, for example, 171612 + ... + 312228.

Almost surely, 2^34018064640 is an apocalyptic number.

34018064640 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 34018064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68981566080).

34018064640 is an abundant number, since it is smaller than the sum of its proper divisors (103945067520).

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

34018064640 is a wasteful number, since it uses less digits than its factorization.

34018064640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140654 (or 140634 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 34018064640 in words is "thirty-four billion, eighteen million, sixty-four thousand, six hundred forty".