1834408440 has 192 divisors, whose sum is σ = 6156259200. Its totient is φ = 473481216.

The previous prime is 1834408417. The next prime is 1834408463. The reversal of 1834408440 is 448044381.

It is an interprime number because it is at equal distance from previous prime (1834408417) and next prime (1834408463).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1834408395 and 1834408404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1506712 + ... + 1507928.

It is an arithmetic number, because the mean of its divisors is an integer number (32063850).

Almost surely, 2^1834408440 is an apocalyptic number.

1834408440 is a gapful number since it is divisible by the number (10) 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 1834408440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3078129600).

1834408440 is an abundant number, since it is smaller than the sum of its proper divisors (4321850760).

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

1834408440 is a wasteful number, since it uses less digits than its factorization.

1834408440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 1834408440 is about 42829.9946299320. The cubic root of 1834408440 is about 1224.1426048125.

The spelling of 1834408440 in words is "one billion, eight hundred thirty-four million, four hundred eight thousand, four hundred forty".