3780739200 has 384 divisors, whose sum is σ = 14376222720. Its totient is φ = 855429120.

The previous prime is 3780739189. The next prime is 3780739211. The reversal of 3780739200 is 29370873.

It is an interprime number because it is at equal distance from previous prime (3780739189) and next prime (3780739211).

It is a tau number, because it is divible by the number of its divisors (384).

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, 8534179 + ... + 8534621.

It is an arithmetic number, because the mean of its divisors is an integer number (37438080).

Almost surely, 2^3780739200 is an apocalyptic number.

3780739200 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 3780739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7188111360).

3780739200 is an abundant number, since it is smaller than the sum of its proper divisors (10595483520).

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

3780739200 is a wasteful number, since it uses less digits than its factorization.

3780739200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 3780739200 is about 61487.7158463380. The cubic root of 3780739200 is about 1557.8497660439.

The spelling of 3780739200 in words is "three billion, seven hundred eighty million, seven hundred thirty-nine thousand, two hundred".