3437856 has 96 divisors (see below), whose sum is σ = 10523520. Its totient is φ = 1089792.

The previous prime is 3437849. The next prime is 3437857. The reversal of 3437856 is 6587343.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 3¹⁰ + 4⁵ + 3¹¹ + 7⁷ + 8⁷ + 5 + 6⁷ .

It is a self number, because there is not a number n which added to its sum of digits gives 3437856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3437857) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19786 + ... + 19958.

It is an arithmetic number, because the mean of its divisors is an integer number (109620).

Almost surely, 2^3437856 is an apocalyptic number.

3437856 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 3437856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5261760).

3437856 is an abundant number, since it is smaller than the sum of its proper divisors (7085664).

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

3437856 is a wasteful number, since it uses less digits than its factorization.

3437856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 201 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 3437856 is about 1854.1456253488. The cubic root of 3437856 is about 150.9254781907.

The spelling of 3437856 in words is "three million, four hundred thirty-seven thousand, eight hundred fifty-six".