3859416 has 72 divisors (see below), whose sum is σ = 11515140. Its totient is φ = 1166880.

The previous prime is 3859411. The next prime is 3859439. The reversal of 3859416 is 6149583.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3859416² = 29790183722112, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3859411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8491 + ... + 8933.

Almost surely, 2^3859416 is an apocalyptic number.

3859416 is a gapful number since it is divisible by the number (36) 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 3859416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5757570).

3859416 is an abundant number, since it is smaller than the sum of its proper divisors (7655724).

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

3859416 is a wasteful number, since it uses less digits than its factorization.

3859416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 459 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 3859416 is about 1964.5396407301. The cubic root of 3859416 is about 156.8581893914.

It can be divided in two parts, 385 and 9416, that added together give a square (9801 = 99²).

The spelling of 3859416 in words is "three million, eight hundred fifty-nine thousand, four hundred sixteen".