34790181408 has 72 divisors (see below), whose sum is σ = 99954602748. Its totient is φ = 11477164032.

The previous prime is 34790181389. The next prime is 34790181443. The reversal of 34790181408 is 80418109743.

It is a happy number.

34790181408 is a `hidden beast` number, since 347 + 90 + 181 + 40 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32698765584 + 2091415824 = 180828^2 + 45732^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 594741 + ... + 650612.

Almost surely, 2^34790181408 is an apocalyptic number.

It is an amenable number.

34790181408 is an abundant number, since it is smaller than the sum of its proper divisors (65164421340).

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

34790181408 is a wasteful number, since it uses less digits than its factorization.

34790181408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245466 (or 1245455 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 34790181408 in words is "thirty-four billion, seven hundred ninety million, one hundred eighty-one thousand, four hundred eight".