3383545760 has 96 divisors (see below), whose sum is σ = 9156551040. Its totient is φ = 1157409792.

The previous prime is 3383545757. The next prime is 3383545793. The reversal of 3383545760 is 675453833.

3383545760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3383545760² = 22896763820027955200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 519806 + ... + 526274.

It is an arithmetic number, because the mean of its divisors is an integer number (95380740).

Almost surely, 2^3383545760 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 3383545760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4578275520).

3383545760 is an abundant number, since it is smaller than the sum of its proper divisors (5773005280).

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

3383545760 is a wasteful number, since it uses less digits than its factorization.

3383545760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6958 (or 6950 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 44.

The square root of 3383545760 is about 58168.2538847437. The cubic root of 3383545760 is about 1501.2649714501.

The spelling of 3383545760 in words is "three billion, three hundred eighty-three million, five hundred forty-five thousand, seven hundred sixty".