3789630 has 96 divisors (see below), whose sum is σ = 11007360. Its totient is φ = 898560.

The previous prime is 3789613. The next prime is 3789701. The reversal of 3789630 is 369873.

It is a super-2 number, since 2×3789630² = 28722591073800, which contains 22 as substring.

It is a Curzon number.

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, 47931 + ... + 48009.

It is an arithmetic number, because the mean of its divisors is an integer number (114660).

Almost surely, 2^3789630 is an apocalyptic number.

3789630 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 3789630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5503680).

3789630 is an abundant number, since it is smaller than the sum of its proper divisors (7217730).

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

3789630 is a wasteful number, since it uses less digits than its factorization.

3789630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3789630 is about 1946.6972029568. The cubic root of 3789630 is about 155.9069958458.

The spelling of 3789630 in words is "three million, seven hundred eighty-nine thousand, six hundred thirty".