34786823904 has 288 divisors, whose sum is σ = 115811265024. Its totient is φ = 9699056640.

The previous prime is 34786823849. The next prime is 34786823917. The reversal of 34786823904 is 40932868743.

34786823904 is a `hidden beast` number, since 3 + 478 + 6 + 82 + 3 + 90 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 22544157 + ... + 22545699.

It is an arithmetic number, because the mean of its divisors is an integer number (402122448).

Almost surely, 2^34786823904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34786823904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57905632512).

34786823904 is an abundant number, since it is smaller than the sum of its proper divisors (81024441120).

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

34786823904 is a wasteful number, since it uses less digits than its factorization.

34786823904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1830 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 34786823904 in words is "thirty-four billion, seven hundred eighty-six million, eight hundred twenty-three thousand, nine hundred four".