3348282240 has 192 divisors, whose sum is σ = 11721893040. Its totient is φ = 880533504.

The previous prime is 3348282233. The next prime is 3348282251. The reversal of 3348282240 is 422828433.

It is a happy number.

3348282240 is a `hidden beast` number, since 334 + 8 + 2 + 82 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×3348282240² = 22421987917398835200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3348282195 and 3348282204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 416499 + ... + 424461.

Almost surely, 2^3348282240 is an apocalyptic number.

3348282240 is a gapful number since it is divisible by the number (30) 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 3348282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5860946520).

3348282240 is an abundant number, since it is smaller than the sum of its proper divisors (8373610800).

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

3348282240 is a wasteful number, since it uses less digits than its factorization.

3348282240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8061 (or 8046 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 3348282240 is about 57864.3434249452. The cubic root of 3348282240 is about 1496.0313223255.

The spelling of 3348282240 in words is "three billion, three hundred forty-eight million, two hundred eighty-two thousand, two hundred forty".