34073878904832 has 480 divisors, whose sum is σ = 100434996748800. Its totient is φ = 10210938716160.

The previous prime is 34073878904731. The next prime is 34073878904843. The reversal of 34073878904832 is 23840987837043.

It is a super-2 number, since 2×34073878904832² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3765481044 + ... + 3765490092.

It is an arithmetic number, because the mean of its divisors is an integer number (209239576560).

Almost surely, 2^{34073878904832} is an apocalyptic number.

34073878904832 is a gapful number since it is divisible by the number (32) 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 34073878904832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50217498374400).

34073878904832 is an abundant number, since it is smaller than the sum of its proper divisors (66361117843968).

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

34073878904832 is an equidigital number, since it uses as much as digits as its factorization.

34073878904832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9247 (or 9221 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 66.

The spelling of 34073878904832 in words is "thirty-four trillion, seventy-three billion, eight hundred seventy-eight million, nine hundred four thousand, eight hundred thirty-two".