1842541344 has 240 divisors, whose sum is σ = 6239395008. Its totient is φ = 522505728.

The previous prime is 1842541313. The next prime is 1842541433. The reversal of 1842541344 is 4431452481.

1842541344 is a `hidden beast` number, since 1 + 84 + 2 + 541 + 34 + 4 = 666.

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 = 1842541299 and 1842541308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3138619 + ... + 3139205.

Almost surely, 2^1842541344 is an apocalyptic number.

1842541344 is a gapful number since it is divisible by the number (14) 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 1842541344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3119697504).

1842541344 is an abundant number, since it is smaller than the sum of its proper divisors (4396853664).

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

1842541344 is a wasteful number, since it uses less digits than its factorization.

1842541344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 772 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 1842541344 is about 42924.8336513958. The cubic root of 1842541344 is about 1225.9490286241.

The spelling of 1842541344 in words is "one billion, eight hundred forty-two million, five hundred forty-one thousand, three hundred forty-four".