1820029344 has 192 divisors, whose sum is σ = 5754470400. Its totient is φ = 502951680.

The previous prime is 1820029303. The next prime is 1820029411. The reversal of 1820029344 is 4439200281.

1820029344 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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, 1019877 + ... + 1021659.

It is an arithmetic number, because the mean of its divisors is an integer number (29971200).

Almost surely, 2^1820029344 is an apocalyptic number.

1820029344 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 1820029344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2877235200).

1820029344 is an abundant number, since it is smaller than the sum of its proper divisors (3934441056).

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

1820029344 is a wasteful number, since it uses less digits than its factorization.

1820029344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848 (or 1826 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 1820029344 is about 42661.8019310015. The cubic root of 1820029344 is about 1220.9357114231.

The spelling of 1820029344 in words is "one billion, eight hundred twenty million, twenty-nine thousand, three hundred forty-four".