3262896 has 160 divisors (see below), whose sum is σ = 11665920. Its totient is φ = 850176.

The previous prime is 3262891. The next prime is 3262907. The reversal of 3262896 is 6982623.

3262896 = T₂₂₁ + T₂₂₂ + ... + T₃₁₁.

3262896 = 51³ + 52³ + ... + 66³.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (31104) is a multiple of the sum of its prime divisors (108).

It is a self number, because there is not a number n which added to its sum of digits gives 3262896.

It is not an unprimeable number, because it can be changed into a prime (3262891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39271 + ... + 39353.

It is an arithmetic number, because the mean of its divisors is an integer number (72912).

Almost surely, 2^3262896 is an apocalyptic number.

3262896 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 3262896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5832960).

3262896 is an abundant number, since it is smaller than the sum of its proper divisors (8403024).

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

3262896 is a wasteful number, since it uses less digits than its factorization.

3262896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 108 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 3262896 is about 1806.3488035261. The cubic root of 3262896 is about 148.3204645936.

The spelling of 3262896 in words is "three million, two hundred sixty-two thousand, eight hundred ninety-six".