34938004919040 has 432 divisors, whose sum is σ = 130347607834080. Its totient is φ = 8611162030080.

The previous prime is 34938004919023. The next prime is 34938004919087. The reversal of 34938004919040 is 4091940083943.

34938004919040 is a `hidden beast` number, since 34 + 9 + 3 + 80 + 0 + 491 + 9 + 0 + 40 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 7027474 + ... + 10920686.

It is an arithmetic number, because the mean of its divisors is an integer number (301730573690).

Almost surely, 2^{34938004919040} is an apocalyptic number.

34938004919040 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 34938004919040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65173803917040).

34938004919040 is an abundant number, since it is smaller than the sum of its proper divisors (95409602915040).

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

34938004919040 is a wasteful number, since it uses less digits than its factorization.

34938004919040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3893300 (or 3893283 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 34938004919040 in words is "thirty-four trillion, nine hundred thirty-eight billion, four million, nine hundred nineteen thousand, forty".