1938073200 has 240 divisors, whose sum is σ = 7247631360. Its totient is φ = 433474560.

The previous prime is 1938073199. The next prime is 1938073261. The reversal of 1938073200 is 23708391.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1938073200² = 7512255457116480000, which contains 22 as substring.

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, 392346 + ... + 397254.

It is an arithmetic number, because the mean of its divisors is an integer number (30198464).

Almost surely, 2^1938073200 is an apocalyptic number.

1938073200 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 1938073200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3623815680).

1938073200 is an abundant number, since it is smaller than the sum of its proper divisors (5309558160).

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

1938073200 is a wasteful number, since it uses less digits than its factorization.

1938073200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4984 (or 4973 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 1938073200 is about 44023.5527871161. The cubic root of 1938073200 is about 1246.7806651579.

The spelling of 1938073200 in words is "one billion, nine hundred thirty-eight million, seventy-three thousand, two hundred".