3322832760 has 256 divisors, whose sum is σ = 12340944000. Its totient is φ = 789626880.

The previous prime is 3322832753. The next prime is 3322832771. The reversal of 3322832760 is 672382233.

It is a happy number.

3322832760 is a `hidden beast` number, since 3 + 322 + 8 + 327 + 6 + 0 = 666.

3322832760 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 is a super-2 number, since 2×3322832760² = 22082435101858435200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 403080 + ... + 411240.

Almost surely, 2^3322832760 is an apocalyptic number.

3322832760 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 3322832760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6170472000).

3322832760 is an abundant number, since it is smaller than the sum of its proper divisors (9018111240).

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

3322832760 is a wasteful number, since it uses less digits than its factorization.

3322832760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8223 (or 8213 counting only the distinct ones).

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

The square root of 3322832760 is about 57644.0175560309. The cubic root of 3322832760 is about 1492.2313548951.

The spelling of 3322832760 in words is "three billion, three hundred twenty-two million, eight hundred thirty-two thousand, seven hundred sixty".