834126384 has 160 divisors (see below), whose sum is σ = 2714381824. Its totient is φ = 214824960.

The previous prime is 834126361. The next prime is 834126401. The reversal of 834126384 is 483621438.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185604 + ... + 190044.

Almost surely, 2^834126384 is an apocalyptic number.

834126384 is a gapful number since it is divisible by the number (84) 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 834126384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357190912).

834126384 is an abundant number, since it is smaller than the sum of its proper divisors (1880255440).

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

834126384 is a wasteful number, since it uses less digits than its factorization.

834126384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4515 (or 4509 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 834126384 is about 28881.2462334990. The cubic root of 834126384 is about 941.3344499359.

The spelling of 834126384 in words is "eight hundred thirty-four million, one hundred twenty-six thousand, three hundred eighty-four".