3323682720 has 240 divisors, whose sum is σ = 11780096328. Its totient is φ = 882524160.

The previous prime is 3323682697. The next prime is 3323682727. The reversal of 3323682720 is 272863233.

It is a happy number.

3323682720 is a `hidden beast` number, since 3 + 323 + 68 + 272 + 0 = 666.

3323682720 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1123322256 + 2200360464 = 33516^2 + 46908^2 .

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

It is a super-2 number, since 2×3323682720² = 22093733646453196800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3323682727) 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, 4367140 + ... + 4367900.

Almost surely, 2^3323682720 is an apocalyptic number.

3323682720 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 3323682720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5890048164).

3323682720 is an abundant number, since it is smaller than the sum of its proper divisors (8456413608).

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

3323682720 is a wasteful number, since it uses less digits than its factorization.

3323682720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3323682720 is about 57651.3895756208. The cubic root of 3323682720 is about 1492.3585785548.

The spelling of 3323682720 in words is "three billion, three hundred twenty-three million, six hundred eighty-two thousand, seven hundred twenty".