3838464 has 180 divisors, whose sum is σ = 13644774. Its totient is φ = 1032192.

The previous prime is 3838441. The next prime is 3838477. The reversal of 3838464 is 4648383.

It can be written as a sum of positive squares in only one way, i.e., 2822400 + 1016064 = 1680^2 + 1008^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 225784 + ... + 225800.

Almost surely, 2^3838464 is an apocalyptic number.

3838464 is a gapful number since it is divisible by the number (34) 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 3838464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6822387).

3838464 is an abundant number, since it is smaller than the sum of its proper divisors (9806310).

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

3838464 is a wasteful number, since it uses less digits than its factorization.

3838464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 29 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 3838464 is about 1959.1998366680. The cubic root of 3838464 is about 156.5738235681.

The spelling of 3838464 in words is "three million, eight hundred thirty-eight thousand, four hundred sixty-four".