3393228240 has 320 divisors, whose sum is σ = 12454560000. Its totient is φ = 846692352.

The previous prime is 3393228229. The next prime is 3393228269. The reversal of 3393228240 is 428223933.

3393228240 is a `hidden beast` number, since 3 + 393 + 2 + 28 + 240 = 666.

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 = 3393228195 and 3393228204.

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, 3652096 + ... + 3653024.

It is an arithmetic number, because the mean of its divisors is an integer number (38920500).

Almost surely, 2^3393228240 is an apocalyptic number.

3393228240 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 3393228240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6227280000).

3393228240 is an abundant number, since it is smaller than the sum of its proper divisors (9061331760).

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

3393228240 is a wasteful number, since it uses less digits than its factorization.

3393228240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3393228240 is about 58251.4226435715. The cubic root of 3393228240 is about 1502.6956328073.

The spelling of 3393228240 in words is "three billion, three hundred ninety-three million, two hundred twenty-eight thousand, two hundred forty".