3280407228 has 384 divisors, whose sum is σ = 10838016000. Its totient is φ = 837008640.

The previous prime is 3280407203. The next prime is 3280407271. The reversal of 3280407228 is 8227040823.

3280407228 is a `hidden beast` number, since 3 + 28 + 0 + 407 + 228 = 666.

It is a super-2 number, since 2×3280407228² = 21522143163029287968, 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 = 3280407192 and 3280407201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23599983 + ... + 23600121.

It is an arithmetic number, because the mean of its divisors is an integer number (28224000).

Almost surely, 2^3280407228 is an apocalyptic number.

3280407228 is a gapful number since it is divisible by the number (38) 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 3280407228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5419008000).

3280407228 is an abundant number, since it is smaller than the sum of its proper divisors (7557608772).

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

3280407228 is a wasteful number, since it uses less digits than its factorization.

3280407228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 3280407228 is about 57274.8393974178. The cubic root of 3280407228 is about 1485.8532551767.

The spelling of 3280407228 in words is "three billion, two hundred eighty million, four hundred seven thousand, two hundred twenty-eight".