3331484640 has 240 divisors, whose sum is σ = 12826764720. Its totient is φ = 807598080.

The previous prime is 3331484621. The next prime is 3331484647. The reversal of 3331484640 is 464841333.

It is a happy number.

3331484640 is a `hidden beast` number, since 3 + 3 + 3 + 1 + 4 + 8 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3331484640² = 22197579813111859200, 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 = 3331484595 and 3331484604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3331484647) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 130876 + ... + 154244.

It is an arithmetic number, because the mean of its divisors is an integer number (53444853).

Almost surely, 2^3331484640 is an apocalyptic number.

3331484640 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 3331484640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6413382360).

3331484640 is an abundant number, since it is smaller than the sum of its proper divisors (9495280080).

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

3331484640 is a wasteful number, since it uses less digits than its factorization.

3331484640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23407 (or 23390 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 3331484640 is about 57719.0145446022. The cubic root of 3331484640 is about 1493.5253730142.

The spelling of 3331484640 in words is "three billion, three hundred thirty-one million, four hundred eighty-four thousand, six hundred forty".