34020984983040 has 1920 divisors, whose sum is σ = 135639647649792. Its totient is φ = 7807273205760.

The previous prime is 34020984982969. The next prime is 34020984983077. The reversal of 34020984983040 is 4038948902043.

34020984983040 is a `hidden beast` number, since 3 + 4 + 0 + 20 + 98 + 498 + 3 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 65049684219 + ... + 65049684741.

Almost surely, 2^{34020984983040} is an apocalyptic number.

34020984983040 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 34020984983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67819823824896).

34020984983040 is an abundant number, since it is smaller than the sum of its proper divisors (101618662666752).

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

34020984983040 is a wasteful number, since it uses less digits than its factorization.

34020984983040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 34020984983040 in words is "thirty-four trillion, twenty billion, nine hundred eighty-four million, nine hundred eighty-three thousand, forty".