3895416 has 96 divisors (see below), whose sum is σ = 12355200. Its totient is φ = 1085760.

The previous prime is 3895403. The next prime is 3895421. The reversal of 3895416 is 6145983.

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

It is a d-powerful number, because it can be written as 3² + 8³ + 9 + 5⁹ + 4⁹ + 1 + 6⁸ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29671 + ... + 29801.

It is an arithmetic number, because the mean of its divisors is an integer number (128700).

Almost surely, 2^3895416 is an apocalyptic number.

3895416 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 3895416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6177600).

3895416 is an abundant number, since it is smaller than the sum of its proper divisors (8459784).

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

3895416 is a wasteful number, since it uses less digits than its factorization.

3895416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 202 counting only the distinct ones).

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

The square root of 3895416 is about 1973.6808252603. The cubic root of 3895416 is about 157.3443965855.

The spelling of 3895416 in words is "three million, eight hundred ninety-five thousand, four hundred sixteen".