3349798320 has 320 divisors, whose sum is σ = 12129937920. Its totient is φ = 755712000.

The previous prime is 3349798297. The next prime is 3349798327. The reversal of 3349798320 is 238979433.

It is a super-2 number, since 2×3349798320² = 22442297569349644800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3349798320.

It is not an unprimeable number, because it can be changed into a prime (3349798327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4532511 + ... + 4533249.

It is an arithmetic number, because the mean of its divisors is an integer number (37906056).

Almost surely, 2^3349798320 is an apocalyptic number.

3349798320 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 3349798320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6064968960).

3349798320 is an abundant number, since it is smaller than the sum of its proper divisors (8780139600).

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

3349798320 is a wasteful number, since it uses less digits than its factorization.

3349798320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The square root of 3349798320 is about 57877.4422378875. The cubic root of 3349798320 is about 1496.2570859423.

The spelling of 3349798320 in words is "three billion, three hundred forty-nine million, seven hundred ninety-eight thousand, three hundred twenty".