3781290120 has 128 divisors (see below), whose sum is σ = 11498371200. Its totient is φ = 994697216.

The previous prime is 3781290119. The next prime is 3781290167. The reversal of 3781290120 is 210921873.

It is a super-2 number, since 2×3781290120² = 28596309943219228800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4069816 + ... + 4070744.

It is an arithmetic number, because the mean of its divisors is an integer number (89831025).

Almost surely, 2^3781290120 is an apocalyptic number.

3781290120 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 3781290120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5749185600).

3781290120 is an abundant number, since it is smaller than the sum of its proper divisors (7717081080).

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

3781290120 is a wasteful number, since it uses less digits than its factorization.

3781290120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 3781290120 is about 61492.1956023689. The cubic root of 3781290120 is about 1557.9254310452.

The spelling of 3781290120 in words is "three billion, seven hundred eighty-one million, two hundred ninety thousand, one hundred twenty".