3375216 has 80 divisors (see below), whose sum is σ = 10450720. Its totient is φ = 1036800.

The previous prime is 3375209. The next prime is 3375221. The reversal of 3375216 is 6125733.

3375216 = 103³ + 104³ + 105³.

It is a happy number.

3375216 is nontrivially palindromic in base 5.

It is a super-2 number, since 2×3375216² = 22784166093312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3375216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5316 + ... + 5916.

It is an arithmetic number, because the mean of its divisors is an integer number (130634).

Almost surely, 2^3375216 is an apocalyptic number.

3375216 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 3375216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5225360).

3375216 is an abundant number, since it is smaller than the sum of its proper divisors (7075504).

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

3375216 is a wasteful number, since it uses less digits than its factorization.

3375216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 619 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 3375216 is about 1837.1760939006. The cubic root of 3375216 is about 150.0031999317.

It can be divided in two parts, 3375 and 216, that multiplied together give a cube (729000 = 90³).

The spelling of 3375216 in words is "three million, three hundred seventy-five thousand, two hundred sixteen".