3788223090120 has 384 divisors, whose sum is σ = 14908478457600. Its totient is φ = 814384447488.

The previous prime is 3788223090097. The next prime is 3788223090143. The reversal of 3788223090120 is 210903228873.

It is an interprime number because it is at equal distance from previous prime (3788223090097) and next prime (3788223090143).

It is a super-2 number, since 2×3788223090120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63759067 + ... + 63818453.

It is an arithmetic number, because the mean of its divisors is an integer number (38824162650).

Almost surely, 2^{3788223090120} is an apocalyptic number.

3788223090120 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 3788223090120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7454239228800).

3788223090120 is an abundant number, since it is smaller than the sum of its proper divisors (11120255367480).

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

3788223090120 is a wasteful number, since it uses less digits than its factorization.

3788223090120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60917 (or 60910 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 3788223090120 in words is "three trillion, seven hundred eighty-eight billion, two hundred twenty-three million, ninety thousand, one hundred twenty".