34819838460 has 576 divisors, whose sum is σ = 124313978880. Its totient is φ = 7871001600.

The previous prime is 34819838357. The next prime is 34819838477. The reversal of 34819838460 is 6483891843.

34819838460 is a `hidden beast` number, since 3 + 481 + 9 + 83 + 84 + 6 + 0 = 666.

34819838460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 34819838397 and 34819838406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 391234096 + ... + 391234184.

It is an arithmetic number, because the mean of its divisors is an integer number (215822880).

Almost surely, 2^34819838460 is an apocalyptic number.

34819838460 is a gapful number since it is divisible by the number (30) 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 34819838460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62156989440).

34819838460 is an abundant number, since it is smaller than the sum of its proper divisors (89494140420).

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

34819838460 is a wasteful number, since it uses less digits than its factorization.

34819838460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 34819838460 in words is "thirty-four billion, eight hundred nineteen million, eight hundred thirty-eight thousand, four hundred sixty".