3781939200 has 312 divisors, whose sum is σ = 13480158048. Its totient is φ = 929955840.

The previous prime is 3781939199. The next prime is 3781939207. The reversal of 3781939200 is 29391873.

It is a tau number, because it is divible by the number of its divisors (312).

It is a super-2 number, since 2×3781939200² = 28606128224993280000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3781939207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3993127 + ... + 3994073.

Almost surely, 2^3781939200 is an apocalyptic number.

3781939200 is a gapful number since it is divisible by the number (30) 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 3781939200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6740079024).

3781939200 is an abundant number, since it is smaller than the sum of its proper divisors (9698218848).

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

3781939200 is a wasteful number, since it uses less digits than its factorization.

3781939200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 3781939200 is about 61497.4731188201. The cubic root of 3781939200 is about 1558.0145682049.

The spelling of 3781939200 in words is "three billion, seven hundred eighty-one million, nine hundred thirty-nine thousand, two hundred".