34783844832 has 432 divisors, whose sum is σ = 112726373760. Its totient is φ = 10160156160.

The previous prime is 34783844759. The next prime is 34783844867. The reversal of 34783844832 is 23844838743.

It is a happy number.

34783844832 is a `hidden beast` number, since 3 + 4 + 7 + 83 + 84 + 483 + 2 = 666.

It is a super-2 number, since 2×34783844832² (a number of 22 digits) contains 22 as substring.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 208286413 + ... + 208286579.

It is an arithmetic number, because the mean of its divisors is an integer number (260940680).

Almost surely, 2^34783844832 is an apocalyptic number.

34783844832 is a gapful number since it is divisible by the number (32) 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 34783844832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56363186880).

34783844832 is an abundant number, since it is smaller than the sum of its proper divisors (77942528928).

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

34783844832 is a wasteful number, since it uses less digits than its factorization.

34783844832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 365 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 54.

The spelling of 34783844832 in words is "thirty-four billion, seven hundred eighty-three million, eight hundred forty-four thousand, eight hundred thirty-two".