1820038032 has 80 divisors (see below), whose sum is σ = 5258968960. Its totient is φ = 602640000.

The previous prime is 1820037997. The next prime is 1820038039. The reversal of 1820038032 is 2308300281.

1820038032 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1820037987 and 1820038005.

It is not an unprimeable number, because it can be changed into a prime (1820038039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51282 + ... + 79182.

It is an arithmetic number, because the mean of its divisors is an integer number (65737112).

Almost surely, 2^1820038032 is an apocalyptic number.

1820038032 is a gapful number since it is divisible by the number (12) 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 1820038032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2629484480).

1820038032 is an abundant number, since it is smaller than the sum of its proper divisors (3438930928).

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

1820038032 is a wasteful number, since it uses less digits than its factorization.

1820038032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28069 (or 28057 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1820038032 is about 42661.9037549897. The cubic root of 1820038032 is about 1220.9376541523.

The spelling of 1820038032 in words is "one billion, eight hundred twenty million, thirty-eight thousand, thirty-two".