35275794048 has 288 divisors, whose sum is σ = 116438605920. Its totient is φ = 10223938560.

The previous prime is 35275794031. The next prime is 35275794091. The reversal of 35275794048 is 84049757253.

It is a happy number.

35275794048 is a `hidden beast` number, since 3 + 5 + 27 + 579 + 4 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 35275793985 and 35275794003.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3200515 + ... + 3211517.

It is an arithmetic number, because the mean of its divisors is an integer number (404300715).

Almost surely, 2^35275794048 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 35275794048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58219302960).

35275794048 is an abundant number, since it is smaller than the sum of its proper divisors (81162811872).

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

35275794048 is a wasteful number, since it uses less digits than its factorization.

35275794048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11068 (or 11042 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 35275794048 in words is "thirty-five billion, two hundred seventy-five million, seven hundred ninety-four thousand, forty-eight".