3380811360 has 384 divisors, whose sum is σ = 11831339520. Its totient is φ = 808206336.

The previous prime is 3380811359. The next prime is 3380811367. The reversal of 3380811360 is 631180833.

It is a happy number.

It is a super-2 number, since 2×3380811360² = 22859770903810099200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3380811367) 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, 14509804 + ... + 14510036.

It is an arithmetic number, because the mean of its divisors is an integer number (30810780).

Almost surely, 2^3380811360 is an apocalyptic number.

3380811360 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 3380811360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5915669760).

3380811360 is an abundant number, since it is smaller than the sum of its proper divisors (8450528160).

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

3380811360 is a wasteful number, since it uses less digits than its factorization.

3380811360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 3380811360 is about 58144.7449044194. The cubic root of 3380811360 is about 1500.8604485467.

The spelling of 3380811360 in words is "three billion, three hundred eighty million, eight hundred eleven thousand, three hundred sixty".