3315872 has 48 divisors (see below), whose sum is σ = 7584192. Its totient is φ = 1397760.

The previous prime is 3315863. The next prime is 3315877. The reversal of 3315872 is 2785133.

It is not an unprimeable number, because it can be changed into a prime (3315877) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25247 + ... + 25377.

It is an arithmetic number, because the mean of its divisors is an integer number (158004).

Almost surely, 2^3315872 is an apocalyptic number.

3315872 is a gapful number since it is divisible by the number (32) 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 3315872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3792096).

3315872 is an abundant number, since it is smaller than the sum of its proper divisors (4268320).

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

3315872 is a wasteful number, since it uses less digits than its factorization.

3315872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 253 counting only the distinct ones).

The product of its digits is 5040, while the sum is 29.

The square root of 3315872 is about 1820.9535963335. The cubic root of 3315872 is about 149.1188637575.

It can be divided in two parts, 33 and 15872, that multiplied together give a triangular number (523776 = T₁₀₂₃).

The spelling of 3315872 in words is "three million, three hundred fifteen thousand, eight hundred seventy-two".