34482792906 has 16 divisors (see below), whose sum is σ = 76628428800. Its totient is φ = 11494264284.

The previous prime is 34482792901. The next prime is 34482792973. The reversal of 34482792906 is 60929728443.

34482792906 is a `hidden beast` number, since 3 + 4 + 482 + 79 + 2 + 90 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54), and also a Moran number because the ratio is a prime number: 638570239 = 34482792906 / (3 + 4 + 4 + 8 + 2 + 7 + 9 + 2 + 9 + 0 + 6).

It is not an unprimeable number, because it can be changed into a prime (34482792901) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 319285066 + ... + 319285173.

It is an arithmetic number, because the mean of its divisors is an integer number (4789276800).

Almost surely, 2^34482792906 is an apocalyptic number.

34482792906 is an abundant number, since it is smaller than the sum of its proper divisors (42145635894).

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

34482792906 is a wasteful number, since it uses less digits than its factorization.

34482792906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638570250 (or 638570244 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 34482792906 in words is "thirty-four billion, four hundred eighty-two million, seven hundred ninety-two thousand, nine hundred six".