3781120000 has 260 divisors, whose sum is σ = 10849602016. Its totient is φ = 1290240000.

The previous prime is 3781119971. The next prime is 3781120033. The reversal of 3781120000 is 211873.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17919895 + ... + 17920105.

Almost surely, 2^3781120000 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 3781120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5424801008).

3781120000 is an abundant number, since it is smaller than the sum of its proper divisors (7068482016).

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

3781120000 is an frugal number, since it uses more digits than its factorization.

3781120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 3781120000 is about 61490.8123218420. The cubic root of 3781120000 is about 1557.9020670397.

Adding to 3781120000 its reverse (211873), we get a palindrome (3781331873).

The spelling of 3781120000 in words is "three billion, seven hundred eighty-one million, one hundred twenty thousand".