1838327040 has 432 divisors, whose sum is σ = 7059648960. Its totient is φ = 437944320.

The previous prime is 1838327021. The next prime is 1838327107. The reversal of 1838327040 is 407238381.

1838327040 is a `hidden beast` number, since 1 + 8 + 383 + 270 + 4 + 0 = 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 = 1838326986 and 1838327004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11277999 + ... + 11278161.

It is an arithmetic number, because the mean of its divisors is an integer number (16341780).

Almost surely, 2^1838327040 is an apocalyptic number.

1838327040 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 1838327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3529824480).

1838327040 is an abundant number, since it is smaller than the sum of its proper divisors (5221321920).

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

1838327040 is a wasteful number, since it uses less digits than its factorization.

1838327040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1838327040 is about 42875.7162039306. The cubic root of 1838327040 is about 1225.0136419417.

The spelling of 1838327040 in words is "one billion, eight hundred thirty-eight million, three hundred twenty-seven thousand, forty".