3781890 has 160 divisors (see below), whose sum is σ = 12545280. Its totient is φ = 798336.

The previous prime is 3781873. The next prime is 3781901. The reversal of 3781890 is 981873.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 130396 + ... + 130424.

It is an arithmetic number, because the mean of its divisors is an integer number (78408).

Almost surely, 2^3781890 is an apocalyptic number.

3781890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3781890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6272640).

3781890 is an abundant number, since it is smaller than the sum of its proper divisors (8763390).

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

3781890 is a wasteful number, since it uses less digits than its factorization.

3781890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 3781890 is about 1944.7082043330. The cubic root of 3781890 is about 155.8007812002.

The spelling of 3781890 in words is "three million, seven hundred eighty-one thousand, eight hundred ninety".