34893817504 has 192 divisors, whose sum is σ = 87029268480. Its totient is φ = 13403335680.

The previous prime is 34893817501. The next prime is 34893817537. The reversal of 34893817504 is 40571839843.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (34893817501) by changing a digit.

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, 23915527 + ... + 23916985.

It is an arithmetic number, because the mean of its divisors is an integer number (453277440).

Almost surely, 2^34893817504 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 34893817504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43514634240).

34893817504 is an abundant number, since it is smaller than the sum of its proper divisors (52135450976).

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

34893817504 is a wasteful number, since it uses less digits than its factorization.

34893817504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The spelling of 34893817504 in words is "thirty-four billion, eight hundred ninety-three million, eight hundred seventeen thousand, five hundred four".