1938867840 has 768 divisors, whose sum is σ = 8607755520. Its totient is φ = 406093824.

The previous prime is 1938867779. The next prime is 1938867841. The reversal of 1938867840 is 487688391.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1938867841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14152252 + ... + 14152388.

It is an arithmetic number, because the mean of its divisors is an integer number (11208015).

Almost surely, 2^1938867840 is an apocalyptic number.

1938867840 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 1938867840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4303877760).

1938867840 is an abundant number, since it is smaller than the sum of its proper divisors (6668887680).

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

1938867840 is a wasteful number, since it uses less digits than its factorization.

1938867840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 1938867840 is about 44032.5770311028. The cubic root of 1938867840 is about 1246.9510416624.

The spelling of 1938867840 in words is "one billion, nine hundred thirty-eight million, eight hundred sixty-seven thousand, eight hundred forty".