1938276864 has 180 divisors, whose sum is σ = 5818924254. Its totient is φ = 644972544.

The previous prime is 1938276863. The next prime is 1938276869. The reversal of 1938276864 is 4686728391.

It can be written as a sum of positive squares in only one way, i.e., 1049760000 + 888516864 = 32400^2 + 29808^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 1938276864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1938276863) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3358944 + ... + 3359520.

Almost surely, 2^1938276864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1938276864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2909462127).

1938276864 is an abundant number, since it is smaller than the sum of its proper divisors (3880647390).

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

1938276864 is an frugal number, since it uses more digits than its factorization.

1938276864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 582 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 1938276864 is about 44025.8658517922. The cubic root of 1938276864 is about 1246.8243366152.

The spelling of 1938276864 in words is "one billion, nine hundred thirty-eight million, two hundred seventy-six thousand, eight hundred sixty-four".