3428949760 has 144 divisors (see below), whose sum is σ = 8693949600. Its totient is φ = 1292156928.

The previous prime is 3428949749. The next prime is 3428949829. The reversal of 3428949760 is 679498243.

It is a happy number.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 3428949698 and 3428949707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6736386 + ... + 6736894.

It is an arithmetic number, because the mean of its divisors is an integer number (60374650).

Almost surely, 2^3428949760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3428949760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4346974800).

3428949760 is an abundant number, since it is smaller than the sum of its proper divisors (5264999840).

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

3428949760 is a wasteful number, since it uses less digits than its factorization.

3428949760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 52.

The square root of 3428949760 is about 58557.2349073964. The cubic root of 3428949760 is about 1507.9503439430.

The spelling of 3428949760 in words is "three billion, four hundred twenty-eight million, nine hundred forty-nine thousand, seven hundred sixty".