34775090496 has 84 divisors (see below), whose sum is σ = 99807407700. Its totient is φ = 11576475648.

The previous prime is 34775090491. The next prime is 34775090533. The reversal of 34775090496 is 69409057743.

It is a happy number.

34775090496 is a `hidden beast` number, since 3 + 47 + 7 + 509 + 0 + 4 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24561158400 + 10213932096 = 156720^2 + 101064^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34775090491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 403690 + ... + 482198.

It is an arithmetic number, because the mean of its divisors is an integer number (1188183425).

Almost surely, 2^34775090496 is an apocalyptic number.

34775090496 is a gapful number since it is divisible by the number (36) 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 34775090496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49903703850).

34775090496 is an abundant number, since it is smaller than the sum of its proper divisors (65032317204).

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

34775090496 is a wasteful number, since it uses less digits than its factorization.

34775090496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79296 (or 79283 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 34775090496 in words is "thirty-four billion, seven hundred seventy-five million, ninety thousand, four hundred ninety-six".