1838859672 has 256 divisors, whose sum is σ = 5617382400. Its totient is φ = 495452160.

The previous prime is 1838859641. The next prime is 1838859713. The reversal of 1838859672 is 2769588381.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7154968 + ... + 7155224.

It is an arithmetic number, because the mean of its divisors is an integer number (21942900).

Almost surely, 2^1838859672 is an apocalyptic number.

1838859672 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 1838859672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2808691200).

1838859672 is an abundant number, since it is smaller than the sum of its proper divisors (3778522728).

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

1838859672 is a wasteful number, since it uses less digits than its factorization.

1838859672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 382 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 57.

The square root of 1838859672 is about 42881.9271022187. The cubic root of 1838859672 is about 1225.1319412515.

The spelling of 1838859672 in words is "one billion, eight hundred thirty-eight million, eight hundred fifty-nine thousand, six hundred seventy-two".