3428280240 has 320 divisors, whose sum is σ = 13709122560. Its totient is φ = 687697920.

The previous prime is 3428280209. The next prime is 3428280241. The reversal of 3428280240 is 420828243.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (3428280241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 532722 + ... + 539118.

It is an arithmetic number, because the mean of its divisors is an integer number (42841008).

Almost surely, 2^3428280240 is an apocalyptic number.

3428280240 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 3428280240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6854561280).

3428280240 is an abundant number, since it is smaller than the sum of its proper divisors (10280842320).

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

3428280240 is a wasteful number, since it uses less digits than its factorization.

3428280240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6460 (or 6454 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 3428280240 is about 58551.5178283194. The cubic root of 3428280240 is about 1507.8521925456.

The spelling of 3428280240 in words is "three billion, four hundred twenty-eight million, two hundred eighty thousand, two hundred forty".