34778632160 has 96 divisors (see below), whose sum is σ = 85247914752. Its totient is φ = 13393981440.

The previous prime is 34778632139. The next prime is 34778632177. The reversal of 34778632160 is 6123687743.

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 15 ways as a sum of consecutive naturals, for example, 959324 + ... + 994916.

It is an arithmetic number, because the mean of its divisors is an integer number (887999112).

Almost surely, 2^34778632160 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 34778632160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42623957376).

34778632160 is an abundant number, since it is smaller than the sum of its proper divisors (50469282592).

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

34778632160 is a wasteful number, since it uses less digits than its factorization.

34778632160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35836 (or 35828 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 47.

The spelling of 34778632160 in words is "thirty-four billion, seven hundred seventy-eight million, six hundred thirty-two thousand, one hundred sixty".