34047682416 has 240 divisors, whose sum is σ = 113616442368. Its totient is φ = 9397094400.

The previous prime is 34047682367. The next prime is 34047682429. The reversal of 34047682416 is 61428674043.

34047682416 is a `hidden beast` number, since 340 + 4 + 7 + 68 + 241 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 814375 + ... + 855161.

Almost surely, 2^34047682416 is an apocalyptic number.

34047682416 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 34047682416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56808221184).

34047682416 is an abundant number, since it is smaller than the sum of its proper divisors (79568759952).

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

34047682416 is a wasteful number, since it uses less digits than its factorization.

34047682416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40860 (or 40851 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 34047682416 in words is "thirty-four billion, forty-seven million, six hundred eighty-two thousand, four hundred sixteen".