3362798080 has 80 divisors (see below), whose sum is σ = 8079694920. Its totient is φ = 1342308352.

The previous prime is 3362798059. The next prime is 3362798081. The reversal of 3362798080 is 808972633.

It can be written as a sum of positive squares in 4 ways, for example, as 1299458304 + 2063339776 = 36048^2 + 45424^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3362798080² = 22616821853703372800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3362798080.

It is not an unprimeable number, because it can be changed into a prime (3362798081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1578456 + ... + 1580584.

Almost surely, 2^3362798080 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 3362798080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4039847460).

3362798080 is an abundant number, since it is smaller than the sum of its proper divisors (4716896840).

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

3362798080 is an equidigital number, since it uses as much as digits as its factorization.

3362798080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2769 (or 2753 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The square root of 3362798080 is about 57989.6376950227. The cubic root of 3362798080 is about 1498.1901252621.

The spelling of 3362798080 in words is "three billion, three hundred sixty-two million, seven hundred ninety-eight thousand, eighty".