3834090 has 96 divisors (see below), whose sum is σ = 11203920. Its totient is φ = 903168.

The previous prime is 3834079. The next prime is 3834091. The reversal of 3834090 is 904383.

It can be written as a sum of positive squares in 8 ways, for example, as 159201 + 3674889 = 399^2 + 1917^2 .

It is a super-2 number, since 2×3834090² = 29400492256200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3834091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33874 + ... + 33986.

Almost surely, 2^3834090 is an apocalyptic number.

3834090 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 3834090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5601960).

3834090 is an abundant number, since it is smaller than the sum of its proper divisors (7369830).

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

3834090 is a wasteful number, since it uses less digits than its factorization.

3834090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3834090 is about 1958.0832464428. The cubic root of 3834090 is about 156.5143280509.

The spelling of 3834090 in words is "three million, eight hundred thirty-four thousand, ninety".