34392139831296 has 216 divisors, whose sum is σ = 107559411899940. Its totient is φ = 10582195912704.

The previous prime is 34392139831267. The next prime is 34392139831331. The reversal of 34392139831296 is 69213893129343.

34392139831296 is a `hidden beast` number, since 3 + 43 + 9 + 213 + 98 + 3 + 1 + 296 = 666.

It is a nude number because it is divisible by every one of its digits.

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 17 ways as a sum of consecutive naturals, for example, 2405386 + ... + 8635401.

Almost surely, 2^{34392139831296} is an apocalyptic number.

34392139831296 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34392139831296 is an abundant number, since it is smaller than the sum of its proper divisors (73167272068644).

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

34392139831296 is a wasteful number, since it uses less digits than its factorization.

34392139831296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11040841 (or 11040805 counting only the distinct ones).

The product of its digits is 45349632, while the sum is 63.

The spelling of 34392139831296 in words is "thirty-four trillion, three hundred ninety-two billion, one hundred thirty-nine million, eight hundred thirty-one thousand, two hundred ninety-six".