834416388 has 144 divisors (see below), whose sum is σ = 2416115520. Its totient is φ = 240682752.

The previous prime is 834416383. The next prime is 834416399. The reversal of 834416388 is 883614438.

834416388 is a `hidden beast` number, since 8 + 3 + 4 + 4 + 1 + 638 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (834416383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 951006 + ... + 951882.

It is an arithmetic number, because the mean of its divisors is an integer number (16778580).

Almost surely, 2^834416388 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 834416388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208057760).

834416388 is an abundant number, since it is smaller than the sum of its proper divisors (1581699132).

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

834416388 is a wasteful number, since it uses less digits than its factorization.

834416388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 1021 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 834416388 is about 28886.2664254140. The cubic root of 834416388 is about 941.4435297787.

The spelling of 834416388 in words is "eight hundred thirty-four million, four hundred sixteen thousand, three hundred eighty-eight".