1938816000 has 880 divisors, whose sum is σ = 8346061152. Its totient is φ = 442368000.

The previous prime is 1938815971. The next prime is 1938816001. The reversal of 1938816000 is 6188391.

1938816000 is a `hidden beast` number, since 19 + 38 + 8 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1938816001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 114047992 + ... + 114048008.

Almost surely, 2^1938816000 is an apocalyptic number.

1938816000 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 1938816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4173030576).

1938816000 is an abundant number, since it is smaller than the sum of its proper divisors (6407245152).

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

1938816000 is a wasteful number, since it uses less digits than its factorization.

1938816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1938816000 is about 44031.9883720915. The cubic root of 1938816000 is about 1246.9399282149.

The spelling of 1938816000 in words is "one billion, nine hundred thirty-eight million, eight hundred sixteen thousand".