34990796160 has 384 divisors, whose sum is σ = 125788815360. Its totient is φ = 8952975360.

The previous prime is 34990796111. The next prime is 34990796161. The reversal of 34990796160 is 6169709943.

34990796160 is a `hidden beast` number, since 3 + 499 + 0 + 7 + 96 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 34990796097 and 34990796106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34990796161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22676349 + ... + 22677891.

It is an arithmetic number, because the mean of its divisors is an integer number (327575040).

Almost surely, 2^34990796160 is an apocalyptic number.

34990796160 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 34990796160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62894407680).

34990796160 is an abundant number, since it is smaller than the sum of its proper divisors (90798019200).

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

34990796160 is a wasteful number, since it uses less digits than its factorization.

34990796160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 34990796160 in words is "thirty-four billion, nine hundred ninety million, seven hundred ninety-six thousand, one hundred sixty".