3348864 has 160 divisors (see below), whose sum is σ = 11107800. Its totient is φ = 995328.

The previous prime is 3348853. The next prime is 3348887. The reversal of 3348864 is 4688433.

3348864 = 4³ + 5³ + ... + 60³.

It is a super-2 number, since 2×3348864² = 22429780180992, which contains 22 as substring.

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.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 176247 + ... + 176265.

Almost surely, 2^3348864 is an apocalyptic number.

3348864 is a gapful number since it is divisible by the number (34) 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 3348864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5553900).

3348864 is an abundant number, since it is smaller than the sum of its proper divisors (7758936).

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

3348864 is a wasteful number, since it uses less digits than its factorization.

3348864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 41 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 3348864 is about 1829.9901639080. The cubic root of 3348864 is about 149.6117961854.

Adding to 3348864 its sum of digits (36), we get a square (3348900 = 1830²).

The spelling of 3348864 in words is "three million, three hundred forty-eight thousand, eight hundred sixty-four".